diff --git a/package.json b/package.json
index 0c9774c2f3b..b998b53e69d 100644
--- a/package.json
+++ b/package.json
@@ -54,6 +54,6 @@
   },
   "packageManager": "pnpm@10.0.0",
   "devDependencies": {
-    "mermaid": "^11.12.2"
+    "mermaid": "^11.15.0"
   }
 }
diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index 267666d2138..07a4953bcc7 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -56,11 +56,11 @@ importers:
         version: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26)
       vuepress-theme-hope:
         specifier: 2.0.0-rc.105
-        version: 2.0.0-rc.105(fc70fbce1047e3fa2c1809b2f58b1c9a)
+        version: 2.0.0-rc.105(937e492359f113535fdf44b9e3e1ba3c)
     devDependencies:
       mermaid:
-        specifier: ^11.12.2
-        version: 11.12.2
+        specifier: ^11.15.0
+        version: 11.15.0
 
 packages:
 
@@ -85,6 +85,11 @@ packages:
     engines: {node: '>=6.0.0'}
     hasBin: true
 
+  '@babel/parser@7.29.3':
+    resolution: {integrity: sha512-b3ctpQwp+PROvU/cttc4OYl4MzfJUWy6FZg+PMXfzmt/+39iHVF0sDfqay8TQM3JA2EUOyKcFZt75jWriQijsA==}
+    engines: {node: '>=6.0.0'}
+    hasBin: true
+
   '@babel/types@7.28.6':
     resolution: {integrity: sha512-0ZrskXVEHSWIqZM/sQZ4EV3jZJXRkio/WCxaqKZP1g//CEWEPSfeZFcms4XeKBCHU0ZKnIkdJeU/kF+eRp5lBg==}
     engines: {node: '>=6.9.0'}
@@ -93,26 +98,14 @@ packages:
     resolution: {integrity: sha512-LwdZHpScM4Qz8Xw2iKSzS+cfglZzJGvofQICy7W7v4caru4EaAmyUuO6BGrbyQ2mYV11W0U8j5mBhd14dd3B0A==}
     engines: {node: '>=6.9.0'}
 
-  '@braintree/sanitize-url@7.1.1':
-    resolution: {integrity: sha512-i1L7noDNxtFyL5DmZafWy1wRVhGehQmzZaz1HiN5e7iylJMSZR7ekOV7NsIqa5qBldlLrsKv4HbgFUVlQrz8Mw==}
+  '@braintree/sanitize-url@7.1.2':
+    resolution: {integrity: sha512-jigsZK+sMF/cuiB7sERuo9V7N9jx+dhmHHnQyDSVdpZwVutaBu7WvNYqMDLSgFgfB30n452TP3vjDAvFC973mA==}
 
   '@bufbuild/protobuf@2.10.2':
     resolution: {integrity: sha512-uFsRXwIGyu+r6AMdz+XijIIZJYpoWeYzILt5yZ2d3mCjQrWUTVpVD9WL/jZAbvp+Ed04rOhrsk7FiTcEDseB5A==}
 
-  '@chevrotain/cst-dts-gen@11.0.3':
-    resolution: {integrity: sha512-BvIKpRLeS/8UbfxXxgC33xOumsacaeCKAjAeLyOn7Pcp95HiRbrpl14S+9vaZLolnbssPIUuiUd8IvgkRyt6NQ==}
-
-  '@chevrotain/gast@11.0.3':
-    resolution: {integrity: sha512-+qNfcoNk70PyS/uxmj3li5NiECO+2YKZZQMbmjTqRI3Qchu8Hig/Q9vgkHpI3alNjr7M+a2St5pw5w5F6NL5/Q==}
-
-  '@chevrotain/regexp-to-ast@11.0.3':
-    resolution: {integrity: sha512-1fMHaBZxLFvWI067AVbGJav1eRY7N8DDvYCTwGBiE/ytKBgP8azTdgyrKyWZ9Mfh09eHWb5PgTSO8wi7U824RA==}
-
-  '@chevrotain/types@11.0.3':
-    resolution: {integrity: sha512-gsiM3G8b58kZC2HaWR50gu6Y1440cHiJ+i3JUvcp/35JchYejb2+5MVeJK0iKThYpAa/P2PYFV4hoi44HD+aHQ==}
-
-  '@chevrotain/utils@11.0.3':
-    resolution: {integrity: sha512-YslZMgtJUyuMbZ+aKvfF3x1f5liK4mWNxghFRv7jqRR9C3R3fAOGTTKvxXDa2Y1s9zSbcpuO0cAxDYsc9SrXoQ==}
+  '@chevrotain/types@11.1.2':
+    resolution: {integrity: sha512-U+HFai5+zmJCkK86QsaJtoITlboZHBqrVketcO2ROv865xfCMSFpELQoz1GkX5GzME8pTa+3kbKrZHQtI0gdbw==}
 
   '@docsearch/css@4.6.3':
     resolution: {integrity: sha512-nlOwcXcsNAptQl4vlL4MA78qNJKO0Qlds5GuBjCoePgkebTXLSf8Qt1oyZ3YBshYupKXG9VRGEsk1zr23d+bzQ==}
@@ -444,8 +437,8 @@ packages:
   '@iconify/types@2.0.0':
     resolution: {integrity: sha512-+wluvCrRhXrhyOmRDJ3q8mux9JkKy5SJ/v8ol2tu4FVjyYvtEzkc/3pK15ET6RKg4b4w4BmTk1+gsCUhf21Ykg==}
 
-  '@iconify/utils@3.1.0':
-    resolution: {integrity: sha512-Zlzem1ZXhI1iHeeERabLNzBHdOa4VhQbqAcOQaMKuTuyZCpwKbC2R4Dd0Zo3g9EAc+Y4fiarO8HIHRAth7+skw==}
+  '@iconify/utils@3.1.3':
+    resolution: {integrity: sha512-LPKOXPn/zV+zis1oOfGWogaXVpqUybF3ZS6SCZIsz8vg0ivVp9+fVqyYB7xq0aiST/VhUQYGO1qo6uoYSiEJqw==}
 
   '@jridgewell/sourcemap-codec@1.5.5':
     resolution: {integrity: sha512-cYQ9310grqxueWbl+WuIUIaiUaDcj7WOq5fVhEljNVgRfOUhY9fy2zTvfoqWsnebh8Sl70VScFbICvJnLKB0Og==}
@@ -736,8 +729,8 @@ packages:
       markdown-it:
         optional: true
 
-  '@mermaid-js/parser@0.6.3':
-    resolution: {integrity: sha512-lnjOhe7zyHjc+If7yT4zoedx2vo4sHaTmtkl1+or8BRTnCtDmcTpAjpzDSfCZrshM5bCoz0GyidzadJAH1xobA==}
+  '@mermaid-js/parser@1.1.1':
+    resolution: {integrity: sha512-VuHdsYMK1bT6X2JbcAaWAhugTRvRBRyuZgd+c22swUeI9g/ntaxF7CY7dYarhZovofCbUNO0G7JesfmNtjYOCw==}
 
   '@napi-rs/wasm-runtime@1.1.4':
     resolution: {integrity: sha512-3NQNNgA1YSlJb/kMH1ildASP9HW7/7kYnRI2szWJaofaS1hWmbGI4H+d3+22aGzXXN9IJ+n+GiFVcGipJP18ow==}
@@ -1272,6 +1265,10 @@ packages:
 
   '@ungap/structured-clone@1.3.0':
     resolution: {integrity: sha512-WmoN8qaIAo7WTYWbAZuG8PYEhn5fkz7dZrqTBZ7dtt//lL2Gwms1IcnQ5yHqjDfX8Ft5j4YzDM23f87zBfDe9g==}
+    deprecated: Potential CWE-502 - Update to 1.3.1 or higher
+
+  '@upsetjs/venn.js@2.0.0':
+    resolution: {integrity: sha512-WbBhLrooyePuQ1VZxrJjtLvTc4NVfpOyKx0sKqioq9bX1C1m7Jgykkn8gLrtwumBioXIqam8DLxp88Adbue6Hw==}
 
   '@vitejs/plugin-vue@6.0.5':
     resolution: {integrity: sha512-bL3AxKuQySfk1iGcBsQnoRVexTPJq0Z/ixFVM8OhVJAP6ZXXXLtM7NFKWhLl30Kg7uTBqIaPXbh+nuQCuBDedg==}
@@ -1286,24 +1283,36 @@ packages:
   '@vue/compiler-core@3.5.32':
     resolution: {integrity: sha512-4x74Tbtqnda8s/NSD6e1Dr5p1c8HdMU5RWSjMSUzb8RTcUQqevDCxVAitcLBKT+ie3o0Dl9crc/S/opJM7qBGQ==}
 
+  '@vue/compiler-core@3.5.34':
+    resolution: {integrity: sha512-s9cLyK5mLcvZ4Agva5QgRsQyLKvts9WbU9DB6NqiZkkGEdwmcEiylj5Jbwkp680drF/NNCV8OlAJSe+yMLxaJw==}
+
   '@vue/compiler-dom@3.5.26':
     resolution: {integrity: sha512-y1Tcd3eXs834QjswshSilCBnKGeQjQXB6PqFn/1nxcQw4pmG42G8lwz+FZPAZAby6gZeHSt/8LMPfZ4Rb+Bd/A==}
 
   '@vue/compiler-dom@3.5.32':
     resolution: {integrity: sha512-ybHAu70NtiEI1fvAUz3oXZqkUYEe5J98GjMDpTGl5iHb0T15wQYLR4wE3h9xfuTNA+Cm2f4czfe8B4s+CCH57Q==}
 
+  '@vue/compiler-dom@3.5.34':
+    resolution: {integrity: sha512-EbF/T++k0e2MMZlJsBhzK8Sgwt0HcIPOhzn1CTB/lv6sQcyk+OWf8YeiLxZp3ro7MbbLcAfAJ6sEvjFWuNgUCw==}
+
   '@vue/compiler-sfc@3.5.26':
     resolution: {integrity: sha512-egp69qDTSEZcf4bGOSsprUr4xI73wfrY5oRs6GSgXFTiHrWj4Y3X5Ydtip9QMqiCMCPVwLglB9GBxXtTadJ3mA==}
 
   '@vue/compiler-sfc@3.5.32':
     resolution: {integrity: sha512-8UYUYo71cP/0YHMO814TRZlPuUUw3oifHuMR7Wp9SNoRSrxRQnhMLNlCeaODNn6kNTJsjFoQ/kqIj4qGvya4Xg==}
 
+  '@vue/compiler-sfc@3.5.34':
+    resolution: {integrity: sha512-D/ihr6uZeIt6r+pVZf46RWT1fAsLFMbUP7k8G1VkiiWexriED9GrX3echHd4Abbt17zjlfiFJ8z7a3BxZOPNjg==}
+
   '@vue/compiler-ssr@3.5.26':
     resolution: {integrity: sha512-lZT9/Y0nSIRUPVvapFJEVDbEXruZh2IYHMk2zTtEgJSlP5gVOqeWXH54xDKAaFS4rTnDeDBQUYDtxKyoW9FwDw==}
 
   '@vue/compiler-ssr@3.5.32':
     resolution: {integrity: sha512-Gp4gTs22T3DgRotZ8aA/6m2jMR+GMztvBXUBEUOYOcST+giyGWJ4WvFd7QLHBkzTxkfOt8IELKNdpzITLbA2rw==}
 
+  '@vue/compiler-ssr@3.5.34':
+    resolution: {integrity: sha512-cDtTHKibkThKGHH1SP+WdccquNRYQDFH6rRjQCqT9G2ltFAfoR5pUftpab/z+aM5mW9HLLVQW7hfKKQe/1GBeQ==}
+
   '@vue/devtools-api@6.6.4':
     resolution: {integrity: sha512-sGhTPMuXqZ1rVOk32RylztWkfXTRhuS7vgAKv0zjqk8gbsHkJ7xfFf+jbySxt7tWObEJwyKaHMikV/WGDiQm8g==}
 
@@ -1322,18 +1331,27 @@ packages:
   '@vue/reactivity@3.5.32':
     resolution: {integrity: sha512-/ORasxSGvZ6MN5gc+uE364SxFdJ0+WqVG0CENXaGW58TOCdrAW76WWaplDtECeS1qphvtBZtR+3/o1g1zL4xPQ==}
 
+  '@vue/reactivity@3.5.34':
+    resolution: {integrity: sha512-y9XDjCEuBp+98k+UL5dbYkh57AHU4o6cxZedOPXw3bmrZZYLQsVHguGurq7hVrPCSrQtrnz1f9dssyFr+dMXfQ==}
+
   '@vue/runtime-core@3.5.26':
     resolution: {integrity: sha512-xJWM9KH1kd201w5DvMDOwDHYhrdPTrAatn56oB/LRG4plEQeZRQLw0Bpwih9KYoqmzaxF0OKSn6swzYi84e1/Q==}
 
   '@vue/runtime-core@3.5.32':
     resolution: {integrity: sha512-pDrXCejn4UpFDFmMd27AcJEbHaLemaE5o4pbb7sLk79SRIhc6/t34BQA7SGNgYtbMnvbF/HHOftYBgFJtUoJUQ==}
 
+  '@vue/runtime-core@3.5.34':
+    resolution: {integrity: sha512-mKeBYvu8tcMSLhypAHBmriUFfWXKTCF/23Z4jiCoYK3UtWepkliViNLuR90V9XOyD62mUxs9p1jsrpK3CCGIzw==}
+
   '@vue/runtime-dom@3.5.26':
     resolution: {integrity: sha512-XLLd/+4sPC2ZkN/6+V4O4gjJu6kSDbHAChvsyWgm1oGbdSO3efvGYnm25yCjtFm/K7rrSDvSfPDgN1pHgS4VNQ==}
 
   '@vue/runtime-dom@3.5.32':
     resolution: {integrity: sha512-1CDVv7tv/IV13V8Nip1k/aaObVbWqRlVCVezTwx3K07p7Vxossp5JU1dcPNhJk3w347gonIUT9jQOGutyJrSVQ==}
 
+  '@vue/runtime-dom@3.5.34':
+    resolution: {integrity: sha512-e8kZzERmCwUnBRVsgSQlAfrfU2rGoy0FFKPBXSlfEjc/O3KfA7QP0t1/2ZylrbchjmIKB4dPTd07A6WPr0eOrg==}
+
   '@vue/server-renderer@3.5.26':
     resolution: {integrity: sha512-TYKLXmrwWKSodyVuO1WAubucd+1XlLg4set0YoV+Hu8Lo79mp/YMwWV5mC5FgtsDxX3qo1ONrxFaTP1OQgy1uA==}
     peerDependencies:
@@ -1344,12 +1362,20 @@ packages:
     peerDependencies:
       vue: 3.5.32
 
+  '@vue/server-renderer@3.5.34':
+    resolution: {integrity: sha512-nHxmJoTrKsmrkbILRhkC9gY1G3moZbJTqCzDd7DOOzG5KH9oeJ0Unqrff5f9v0pW//jES05ZkJcNtfE8JjOIew==}
+    peerDependencies:
+      vue: 3.5.34
+
   '@vue/shared@3.5.26':
     resolution: {integrity: sha512-7Z6/y3uFI5PRoKeorTOSXKcDj0MSasfNNltcslbFrPpcw6aXRUALq4IfJlaTRspiWIUOEZbrpM+iQGmCOiWe4A==}
 
   '@vue/shared@3.5.32':
     resolution: {integrity: sha512-ksNyrmRQzWJJ8n3cRDuSF7zNNontuJg1YHnmWRJd2AMu8Ij2bqwiiri2lH5rHtYPZjj4STkNcgcmiQqlOjiYGg==}
 
+  '@vue/shared@3.5.34':
+    resolution: {integrity: sha512-24uqU4OIiX29ryC3MeWid/Xf2fa2EFRUVLb77nRhk+UrTVrh/XiGtFAFmJBAtBRbjwNdsPRP+jj/OL27Eg1NDA==}
+
   '@vuepress/bundler-vite@2.0.0-rc.26':
     resolution: {integrity: sha512-4+YfKs2iOxuVSMW+L2tFzu2+X2HiGAREpo1DbkkYVDa5GyyPR+YsSueXNZMroTdzWDk5kAUz2Z1Tz1lIu7TO2g==}
 
@@ -1626,23 +1652,31 @@ packages:
     peerDependencies:
       vue: ^3.5.0
 
+  '@vueuse/core@14.3.0':
+    resolution: {integrity: sha512-aHfz47g0ZhMtTVHmIzMVpJy8ePhhOy68GY5bv110+5DVtZ+W7BsOx+m61UNQqfrWyPztIHIanWa3E2tib3NFIw==}
+    peerDependencies:
+      vue: ^3.5.0
+
   '@vueuse/metadata@14.2.1':
     resolution: {integrity: sha512-1ButlVtj5Sb/HDtIy1HFr1VqCP4G6Ypqt5MAo0lCgjokrk2mvQKsK2uuy0vqu/Ks+sHfuHo0B9Y9jn9xKdjZsw==}
 
+  '@vueuse/metadata@14.3.0':
+    resolution: {integrity: sha512-BwxmbAzwAVF50+MW57GXOUEV61nFBGnlBvrTqj49PqWJu3uw7hdu72ztXeZ33RdZtDY6kO+bfCAE1PCn88Tktw==}
+
   '@vueuse/shared@14.2.1':
     resolution: {integrity: sha512-shTJncjV9JTI4oVNyF1FQonetYAiTBd+Qj7cY89SWbXSkx7gyhrgtEdF2ZAVWS1S3SHlaROO6F2IesJxQEkZBw==}
     peerDependencies:
       vue: ^3.5.0
 
+  '@vueuse/shared@14.3.0':
+    resolution: {integrity: sha512-bZpge9eSXwa4ToSiqJ7j6KRwhAsneMFoSz3LMWKQDkqimm3D/tbFlrklrs/IOqC8tEcYmXQZJ6N0UrjhBirVCg==}
+    peerDependencies:
+      vue: ^3.5.0
+
   '@xmldom/xmldom@0.9.10':
     resolution: {integrity: sha512-A9gOqLdi6cV4ibazAjcQufGj0B1y/vDqYrcuP6d/6x8P27gRS8643Dj9o1dEKtB6O7fwxb2FgBmJS2mX7gpvdw==}
     engines: {node: '>=14.6'}
 
-  acorn@8.15.0:
-    resolution: {integrity: sha512-NZyJarBfL7nWwIq+FDL6Zp/yHEhePMNnnJ0y3qfieCrmNvYct8uvtiV41UvlSe6apAfk0fY1FbWx+NwfmpvtTg==}
-    engines: {node: '>=0.4.0'}
-    hasBin: true
-
   ansi-regex@5.0.1:
     resolution: {integrity: sha512-quJQXlTSUGL2LH9SUXo8VwsY4soanhgo6LNSm84E1LBcE8s3O0wpdiRzyR9z/ZZJMlMWv37qOOb9pdJlMUEKFQ==}
     engines: {node: '>=8'}
@@ -1740,14 +1774,6 @@ packages:
     resolution: {integrity: sha512-WDrybc/gKFpTYQutKIK6UvfcuxijIZfMfXaYm8NMsPQxSYvf+13fXUJ4rztGGbJcBQ/GF55gvrZ0Bc0bj/mqvg==}
     engines: {node: '>=20.18.1'}
 
-  chevrotain-allstar@0.3.1:
-    resolution: {integrity: sha512-b7g+y9A0v4mxCW1qUhf3BSVPg+/NvGErk/dOkrDaHA0nQIQGAtrOjlX//9OQtRlSCy+x9rfB5N8yC71lH1nvMw==}
-    peerDependencies:
-      chevrotain: ^11.0.0
-
-  chevrotain@11.0.3:
-    resolution: {integrity: sha512-ci2iJH6LeIkvP9eJW6gpueU8cnZhv85ELY8w8WiFtNjMHA5ad6pQLaJo9mEly/9qUyCpvqX8/POVUTf18/HFdw==}
-
   chokidar@4.0.3:
     resolution: {integrity: sha512-Qgzu8kfBvo+cA4962jnP1KkS6Dop5NS6g7R5LFYJr4b8Ub94PPQXUksCw9PvXoeXPRRddRNC5C1JQUR2SMGtnA==}
     engines: {node: '>= 14.16.0'}
@@ -1796,9 +1822,6 @@ packages:
     resolution: {integrity: sha512-OkTL9umf+He2DZkUq8f8J9of7yL6RJKI24dVITBmNfZBmri9zYZQrKkuXiKhyfPSu8tUhnVBB1iKXevvnlR4Ww==}
     engines: {node: '>= 12'}
 
-  confbox@0.1.8:
-    resolution: {integrity: sha512-RMtmw0iFkeR4YV+fUOSucriAQNb9g8zFR52MWCtl+cCZOFRNL6zeB395vPzFhEjjn4fMxXudmELnl/KF/WrK6w==}
-
   connect-history-api-fallback@2.0.0:
     resolution: {integrity: sha512-U73+6lQFmfiNPrYbXqr6kZ1i1wiRqXnp2nhMsINseWXO8lDau0LGEffJ8kQi4EjLZympVgRdvqjAgiZ1tgzDDA==}
     engines: {node: '>=0.8'}
@@ -1833,8 +1856,8 @@ packages:
     peerDependencies:
       cytoscape: ^3.2.0
 
-  cytoscape@3.33.1:
-    resolution: {integrity: sha512-iJc4TwyANnOGR1OmWhsS9ayRS3s+XQ185FmuHObThD+5AeJCakAAbWv8KimMTt08xCCLNgneQwFp+JRJOr9qGQ==}
+  cytoscape@3.33.3:
+    resolution: {integrity: sha512-Gej7U+OKR+LZ8kvX7rb2HhCYJ0IhvEFsnkud4SB1PR+BUY/TsSO0dmOW59WEVLu51b1Rm+gQRKoz4bLYxGSZ2g==}
     engines: {node: '>=0.10'}
 
   d3-array@2.12.1:
@@ -1976,11 +1999,11 @@ packages:
     resolution: {integrity: sha512-e1U46jVP+w7Iut8Jt8ri1YsPOvFpg46k+K8TpCb0P+zjCkjkPnV7WzfDJzMHy1LnA+wj5pLT1wjO901gLXeEhA==}
     engines: {node: '>=12'}
 
-  dagre-d3-es@7.0.13:
-    resolution: {integrity: sha512-efEhnxpSuwpYOKRm/L5KbqoZmNNukHa/Flty4Wp62JRvgH2ojwVgPgdYyr4twpieZnyRDdIH7PY2mopX26+j2Q==}
+  dagre-d3-es@7.0.14:
+    resolution: {integrity: sha512-P4rFMVq9ESWqmOgK+dlXvOtLwYg0i7u0HBGJER0LZDJT2VHIPAMZ/riPxqJceWMStH5+E61QxFra9kIS3AqdMg==}
 
-  dayjs@1.11.19:
-    resolution: {integrity: sha512-t5EcLVS6QPBNqM2z8fakk/NKel+Xzshgt8FFKAn+qwlD1pzZWxh0nVCrvFK7ZDb6XucZeF9z8C7CBWTRIVApAw==}
+  dayjs@1.11.20:
+    resolution: {integrity: sha512-YbwwqR/uYpeoP4pu043q+LTDLFBLApUP6VxRihdfNTqu4ubqMlGDLd6ErXhEgsyvY0K6nCs7nggYumAN+9uEuQ==}
 
   debug@4.4.3:
     resolution: {integrity: sha512-RGwwWnwQvkVfavKVt22FGLw+xYSdzARwm0ru6DhTVA3umU5hZc28V3kO4stgYryrTlLpuvgI9GiijltAjNbcqA==}
@@ -1998,8 +2021,8 @@ packages:
   decode-named-character-reference@1.2.0:
     resolution: {integrity: sha512-c6fcElNV6ShtZXmsgNgFFV5tVX2PaV4g+MOAkb8eXHvn6sryJBrZa9r0zV6+dtTyoCKxtDy5tyQ5ZwQuidtd+Q==}
 
-  delaunator@5.0.1:
-    resolution: {integrity: sha512-8nvh+XBe96aCESrGOqMp/84b13H9cdKbG5P2ejQCh4d4sK9RL4371qou9drQjMhvnPmhWl5hnmqbEE0fXr9Xnw==}
+  delaunator@5.1.0:
+    resolution: {integrity: sha512-AGrQ4QSgssa1NGmWmLPqN5NY2KajF5MqxetNEO+o0n3ZwZZeTmt7bBnvzHWrmkZFxGgr4HdyFgelzgi06otLuQ==}
 
   dequal@2.0.3:
     resolution: {integrity: sha512-0je+qPKHEMohvfRTCEo3CrPG6cAzAYgmzKyxRiYSSDkS6eGJdyVJm7WaYA5ECaAD9wLB2T4EEeymA5aFVcYXCA==}
@@ -2025,8 +2048,8 @@ packages:
     resolution: {integrity: sha512-cgwlv/1iFQiFnU96XXgROh8xTeetsnJiDsTc7TYCLFd9+/WNkIqPTxiM/8pSd8VIrhXGTf1Ny1q1hquVqDJB5w==}
     engines: {node: '>= 4'}
 
-  dompurify@3.4.0:
-    resolution: {integrity: sha512-nolgK9JcaUXMSmW+j1yaSvaEaoXYHwWyGJlkoCTghc97KgGDDSnpoU/PlEnw63Ah+TGKFOyY+X5LnxaWbCSfXg==}
+  dompurify@3.4.2:
+    resolution: {integrity: sha512-lHeS9SA/IKeIFFyYciHBr2n0v1VMPlSj843HdLOwjb2OxNwdq9Xykxqhk+FE42MzAdHvInbAolSE4mhahPpjXA==}
 
   domutils@3.2.2:
     resolution: {integrity: sha512-6kZKyUajlDuqlHKVX1w7gyslj9MPIXzIFiz/rGu35uC1wMi+kMhQwGhl4lt9unC9Vb9INnY9Z3/ZA3+FhASLaw==}
@@ -2061,6 +2084,9 @@ packages:
     engines: {node: '>=4'}
     hasBin: true
 
+  es-toolkit@1.46.1:
+    resolution: {integrity: sha512-5eNtXOs3tbfxXOj04tjjseeWkRWaoCjdEI+96DgwzZoe6c9juL49pXlzAFTI72aWC9Y8p7168g6XIKjh7k6pyQ==}
+
   esbuild@0.25.12:
     resolution: {integrity: sha512-bbPBYYrtZbkt6Os6FiTLCTFxvq4tt3JKall1vRwshA3fdVztsLAatFaZobhkBC8/BrPetoa0oksYoKXoG4ryJg==}
     engines: {node: '>=18'}
@@ -2215,6 +2241,9 @@ packages:
   immutable@5.1.5:
     resolution: {integrity: sha512-t7xcm2siw+hlUM68I+UEOK+z84RzmN59as9DZ7P1l0994DKUWV7UXBMQZVxaoMSRQ+PBZbHCOoBt7a2wxOMt+A==}
 
+  import-meta-resolve@4.2.0:
+    resolution: {integrity: sha512-Iqv2fzaTQN28s/FwZAoFq0ZSs/7hMAHJVX+w8PZl3cY19Pxk6jFFalxQoIfW2826i/fDLXv8IiEZRIT0lDuWcg==}
+
   internmap@1.0.1:
     resolution: {integrity: sha512-lDB5YccMydFBtasVtxnZ3MRBHuaoE8GKsppq+EchKL2U4nK/DmEpPHNH8MZe5HkMtpSiTSOZwfN0tzYjO/lJEw==}
 
@@ -2280,8 +2309,8 @@ packages:
   jsonfile@6.2.0:
     resolution: {integrity: sha512-FGuPw30AdOIUTRMC2OMRtQV+jkVj2cfPqSeWXv1NEAJ1qZ5zb1X6z1mFhbfOB/iy3ssJCD+3KuZ8r8C3uVFlAg==}
 
-  katex@0.16.27:
-    resolution: {integrity: sha512-aeQoDkuRWSqQN6nSvVCEFvfXdqo1OQiCmmW1kc9xSdjutPv7BGO7pqY9sQRJpMOGrEdfDgF2TfRXe5eUAD2Waw==}
+  katex@0.16.45:
+    resolution: {integrity: sha512-pQpZbdBu7wCTmQUh7ufPmLr0pFoObnGUoL/yhtwJDgmmQpbkg/0HSVti25Fu4rmd1oCR6NGWe9vqTWuWv3GcNA==}
     hasBin: true
 
   khroma@2.1.0:
@@ -2291,10 +2320,6 @@ packages:
     resolution: {integrity: sha512-dcS1ul+9tmeD95T+x28/ehLgd9mENa3LsvDTtzm3vyBEO7RPptvAD+t44WVXaUjTBRcrpFeFlC8WCruUR456hw==}
     engines: {node: '>=0.10.0'}
 
-  langium@3.3.1:
-    resolution: {integrity: sha512-QJv/h939gDpvT+9SiLVlY7tZC3xB2qK57v0J04Sh9wpMb6MP1q8gB21L3WIo8T5P1MSMg3Ep14L7KkDCFG3y4w==}
-    engines: {node: '>=16.0.0'}
-
   layout-base@1.0.2:
     resolution: {integrity: sha512-8h2oVEZNktL4BH2JCOI90iD1yXwL6iNW7KcCKT2QZgQJR2vbqDsldCTPRU9NifTCqHZci57XvQQ15YTu+sTYPg==}
 
@@ -2457,8 +2482,8 @@ packages:
     resolution: {integrity: sha512-8q7VEgMJW4J8tcfVPy8g09NcQwZdbwFEqhe/WZkoIzjn/3TGDwtOCYtXGxA3O8tPzpczCCDgv+P2P5y00ZJOOg==}
     engines: {node: '>= 8'}
 
-  mermaid@11.12.2:
-    resolution: {integrity: sha512-n34QPDPEKmaeCG4WDMGy0OT6PSyxKCfy2pJgShP+Qow2KLrvWjclwbc3yXfSIf4BanqWEhQEpngWwNp/XhZt6w==}
+  mermaid@11.15.0:
+    resolution: {integrity: sha512-pTMbcf3rWdtLiYGpmoTjHEpeY8seiy6sR+9nD7LOs8KfUbHE4lOUAprTRqRAcWSQ6MQpdX+YEsxShtGsINtPtw==}
 
   mhchemparser@4.2.1:
     resolution: {integrity: sha512-kYmyrCirqJf3zZ9t/0wGgRZ4/ZJw//VwaRVGA75C4nhE60vtnIzhl9J9ndkX/h6hxSN7pjg/cE0VxbnNM+bnDQ==}
@@ -2549,9 +2574,6 @@ packages:
   mj-context-menu@0.6.1:
     resolution: {integrity: sha512-7NO5s6n10TIV96d4g2uDpG7ZDpIhMh0QNfGdJw/W47JswFcosz457wqz/b5sAKvl12sxINGFCn80NZHKwxQEXA==}
 
-  mlly@1.8.0:
-    resolution: {integrity: sha512-l8D9ODSRWLe2KHJSifWGwBqpTZXIXTeo8mlKjY+E2HAakaTeNpqAyBZ8GSqLzHgw4XmHmC8whvpjJNMbFZN7/g==}
-
   ms@2.1.3:
     resolution: {integrity: sha512-6FlzubTLZG3J2a/NVCAleEhjzq5oxgHyaCU9yYXvcLsvoVaHJq/s5xXI6/XXP6tz7R9xAOtHnSO/tXtF3WRTlA==}
 
@@ -2565,6 +2587,11 @@ packages:
     engines: {node: ^10 || ^12 || ^13.7 || ^14 || >=15.0.1}
     hasBin: true
 
+  nanoid@3.3.12:
+    resolution: {integrity: sha512-ZB9RH/39qpq5Vu6Y+NmUaFhQR6pp+M2Xt76XBnEwDaGcVAqhlvxrl3B2bKS5D3NH3QR76v3aSrKaF/Kiy7lEtQ==}
+    engines: {node: ^10 || ^12 || ^13.7 || ^14 || >=15.0.1}
+    hasBin: true
+
   nanoid@5.1.7:
     resolution: {integrity: sha512-ua3NDgISf6jdwezAheMOk4mbE1LXjm1DfMUDMuJf4AqxLFK3ccGpgWizwa5YV7Yz9EpXwEaWoRXSb/BnV0t5dQ==}
     engines: {node: ^18 || >=20}
@@ -2631,9 +2658,6 @@ packages:
     resolution: {integrity: sha512-5HviZNaZcfqP95rwpv+1HDgUamezbqdSYTyzjTvwtJSnIH+3vnbmWsItli8OFEndS984VT55M3jduxZbX351gg==}
     engines: {node: '>=12'}
 
-  pathe@2.0.3:
-    resolution: {integrity: sha512-WUjGcAqP1gQacoQe+OBJsFA7Ld4DyXuUIjZ5cc75cLHvJ7dtNsTugphxIADwspS+AraAUePCKrSVtPLFj/F88w==}
-
   perfect-debounce@2.0.0:
     resolution: {integrity: sha512-fkEH/OBiKrqqI/yIgjR92lMfs2K8105zt/VT6+7eTjNwisrsh47CeIED9z58zI7DfKdH3uHAn25ziRZn3kgAow==}
 
@@ -2648,9 +2672,6 @@ packages:
     resolution: {integrity: sha512-QP88BAKvMam/3NxH6vj2o21R6MjxZUAd6nlwAS/pnGvN9IVLocLHxGYIzFhg6fUQ+5th6P4dv4eW9jX3DSIj7A==}
     engines: {node: '>=12'}
 
-  pkg-types@1.3.1:
-    resolution: {integrity: sha512-/Jm5M4RvtBFVkKWRu2BLUTNP8/M2a+UwuAX+ae4770q1qVGtfjG+WTCupoZixokjmHiry8uI+dlY8KXYV5HVVQ==}
-
   pngjs@5.0.0:
     resolution: {integrity: sha512-40QW5YalBNfQo5yRYmiw7Yz6TKKVr3h6970B2YE+3fQpsWcrbj1PzJgxeJ19DRQjhMbKPIuMY8rFaXc8moolVw==}
     engines: {node: '>=10.13.0'}
@@ -2682,6 +2703,10 @@ packages:
   postcss-value-parser@4.2.0:
     resolution: {integrity: sha512-1NNCs6uurfkVbeXG4S8JFT9t19m45ICnif8zWLd5oPSZ50QnwMfK+H3jv408d4jw/7Bttv5axS5IiHoLaVNHeQ==}
 
+  postcss@8.5.14:
+    resolution: {integrity: sha512-SoSL4+OSEtR99LHFZQiJLkT59C5B1amGO1NzTwj7TT1qCUgUO6hxOvzkOYxD+vMrXBM3XJIKzokoERdqQq/Zmg==}
+    engines: {node: ^10 || ^12 || >=14}
+
   postcss@8.5.6:
     resolution: {integrity: sha512-3Ybi1tAuwAP9s0r1UQ2J4n5Y0G05bJkpUIO0/bI9MhwmD70S5aTWbXGBwxHrelT+XM1k6dM0pk+SwNkpTRN7Pg==}
     engines: {node: ^10 || ^12 || >=14}
@@ -2751,8 +2776,8 @@ packages:
     resolution: {integrity: sha512-g6QUff04oZpHs0eG5p83rFLhHeV00ug/Yf9nZM6fLeUrPguBTkTQOdpAWWspMh55TZfVQDPaN3NQJfbVRAxdIw==}
     engines: {iojs: '>=1.0.0', node: '>=0.10.0'}
 
-  robust-predicates@3.0.2:
-    resolution: {integrity: sha512-IXgzBWvWQwE6PrDI05OvmXUIruQTcoMDzRsOd5CDvHCVLcLHMTSYvOK5Cm46kWqlV3yAbuSpBZdJ5oP5OUoStg==}
+  robust-predicates@3.0.3:
+    resolution: {integrity: sha512-NS3levdsRIUOmiJ8FZWCP7LG3QpJyrs/TE0Zpf1yvZu8cAJJ6QMW92H1c7kWpdIHo8RvmLxN/o2JXTKHp74lUA==}
 
   rolldown@1.0.0-rc.15:
     resolution: {integrity: sha512-Ff31guA5zT6WjnGp0SXw76X6hzGRk/OQq2hE+1lcDe+lJdHSgnSX6nK3erbONHyCbpSj9a9E+uX/OvytZoWp2g==}
@@ -2966,8 +2991,8 @@ packages:
     resolution: {integrity: sha512-uCC2VHvQRYu+lMh4My/sFNmF2klFymLX1wHJeXnbEJERpV/ZsVuonzerjfrGpIGF7LBVa1O7i9kjiWvJiFck8g==}
     engines: {node: '>=0.10.0'}
 
-  stylis@4.3.6:
-    resolution: {integrity: sha512-yQ3rwFWRfwNUY7H5vpU0wfdkNSnvnJinhF9830Swlaxl03zsOjCfmX0ugac+3LtK0lYSgwL/KXc8oYL3mG4YFQ==}
+  stylis@4.4.0:
+    resolution: {integrity: sha512-5Z9ZpRzfuH6l/UAvCPAPUo3665Nk2wLaZU3x+TLHKVzIz33+sbJqbtrYoC3KD4/uVOr2Zp+L0LySezP9OHV9yA==}
 
   supports-color@8.1.1:
     resolution: {integrity: sha512-MpUEN2OodtUzxvKQl72cUF7RQ5EiHsGvSsVG0ia9c5RbWGL2CI4C7EpPS8UTBIplnlzZiNuV56w+FuNxy3ty2Q==}
@@ -2985,8 +3010,8 @@ packages:
     resolution: {integrity: sha512-Bh7QjT8/SuKUIfObSXNHNSK6WHo6J1tHCqJsuaFDP7gP0fkzSfTxI8y85JrppZ0h8l0maIgc2tfuZQ6/t3GtnQ==}
     engines: {node: ^14.18.0 || >=16.0.0}
 
-  tinyexec@1.0.2:
-    resolution: {integrity: sha512-W/KYk+NFhkmsYpuHq5JykngiOCnxeVL8v8dFnqxSD8qEEdRfXk1SDM6JzNqcERbcGYj9tMrDQBYV9cjgnunFIg==}
+  tinyexec@1.1.2:
+    resolution: {integrity: sha512-dAqSqE/RabpBKI8+h26GfLq6Vb3JVXs30XYQjdMjaj/c2tS8IYYMbIzP599KtRj7c57/wYApb3QjgRgXmrCukA==}
     engines: {node: '>=18'}
 
   tinyglobby@0.2.15:
@@ -3016,9 +3041,6 @@ packages:
   uc.micro@2.1.0:
     resolution: {integrity: sha512-ARDJmphmdvUk6Glw7y9DQ2bFkKBHwQHLi2lsaH6PPmz/Ka9sFOBsBluozhDltWmnv9u/cF6Rt87znRTPV+yp/A==}
 
-  ufo@1.6.3:
-    resolution: {integrity: sha512-yDJTmhydvl5lJzBmy/hyOAA0d+aqCBuwl818haVdYCRrWV84o7YyeVm4QlVHStqNrrJSTb6jKuFAVqAFsr+K3Q==}
-
   undici-types@7.16.0:
     resolution: {integrity: sha512-Zz+aZWSj8LE6zoxD+xrjh4VfkIG8Ya6LvYkZqtUQGJPZjYl53ypCaUwWqo7eI0x66KBGeRo+mlBEkMSeSZ38Nw==}
 
@@ -3062,8 +3084,8 @@ packages:
     peerDependencies:
       browserslist: '>= 4.21.0'
 
-  uuid@11.1.0:
-    resolution: {integrity: sha512-0/A9rDy9P7cJ+8w1c9WD9V//9Wj15Ce2MPz8Ri6032usz+NfePxx5AcN3bN+r6ZL6jEo066/yNYB3tn4pQEx+A==}
+  uuid@14.0.0:
+    resolution: {integrity: sha512-Qo+uWgilfSmAhXCMav1uYFynlQO7fMFiMVZsQqZRMIXp0O7rR7qjkj+cPvBHLgBqi960QCoo/PH2/6ZtVqKvrg==}
     hasBin: true
 
   varint@6.0.0:
@@ -3121,26 +3143,6 @@ packages:
       yaml:
         optional: true
 
-  vscode-jsonrpc@8.2.0:
-    resolution: {integrity: sha512-C+r0eKJUIfiDIfwJhria30+TYWPtuHJXHtI7J0YlOmKAo7ogxP20T0zxB7HZQIFhIyvoBPwWskjxrvAtfjyZfA==}
-    engines: {node: '>=14.0.0'}
-
-  vscode-languageserver-protocol@3.17.5:
-    resolution: {integrity: sha512-mb1bvRJN8SVznADSGWM9u/b07H7Ecg0I3OgXDuLdn307rl/J3A9YD6/eYOssqhecL27hK1IPZAsaqh00i/Jljg==}
-
-  vscode-languageserver-textdocument@1.0.12:
-    resolution: {integrity: sha512-cxWNPesCnQCcMPeenjKKsOCKQZ/L6Tv19DTRIGuLWe32lyzWhihGVJ/rcckZXJxfdKCFvRLS3fpBIsV/ZGX4zA==}
-
-  vscode-languageserver-types@3.17.5:
-    resolution: {integrity: sha512-Ld1VelNuX9pdF39h2Hgaeb5hEZM2Z3jUrrMgWQAu82jMtZp7p3vJT3BzToKtZI7NgQssZje5o0zryOrhQvzQAg==}
-
-  vscode-languageserver@9.0.1:
-    resolution: {integrity: sha512-woByF3PDpkHFUreUa7Hos7+pUWdeWMXRd26+ZX2A8cFx6v/JPTtd4/uN0/jB6XQHYaOlHbio03NTHCqrgG5n7g==}
-    hasBin: true
-
-  vscode-uri@3.0.8:
-    resolution: {integrity: sha512-AyFQ0EVmsOZOlAnxoFOGOq1SQDWAB7C6aqMGS23svWAllfOaxbuFvcT8D1i8z3Gyn8fraVeZNNmN6e9bxxXkKw==}
-
   vue-router@4.6.4:
     resolution: {integrity: sha512-Hz9q5sa33Yhduglwz6g9skT8OBPii+4bFn88w6J+J4MfEo4KRRpmiNG/hHHkdbRFlLBOqxN8y8gf2Fb0MTUgVg==}
     peerDependencies:
@@ -3162,6 +3164,14 @@ packages:
       typescript:
         optional: true
 
+  vue@3.5.34:
+    resolution: {integrity: sha512-WdLBG9gm02OgJIG9axd5Hpx0TFLdzVgfG2evFFu8Rur5O/IoGc5cMjnjh3tPL6GnRGsYvUhBSKVPYVcxRKpMCA==}
+    peerDependencies:
+      typescript: '*'
+    peerDependenciesMeta:
+      typescript:
+        optional: true
+
   vuepress-plugin-components@2.0.0-rc.105:
     resolution: {integrity: sha512-5c1PG4mLuqgxCiHpKPWIHNZPdl7nm6CHHOg11EF+cnu3kWesw8lg2NErsKwX3WBCjLY9LqE0E0kHlFu2V765Rw==}
     engines: {node: '>=20.19.0', npm: '>=8', pnpm: '>=7', yarn: '>=2'}
@@ -3341,7 +3351,7 @@ snapshots:
   '@antfu/install-pkg@1.1.0':
     dependencies:
       package-manager-detector: 1.6.0
-      tinyexec: 1.0.2
+      tinyexec: 1.1.2
 
   '@babel/helper-string-parser@7.27.1': {}
 
@@ -3355,6 +3365,11 @@ snapshots:
     dependencies:
       '@babel/types': 7.29.0
 
+  '@babel/parser@7.29.3':
+    dependencies:
+      '@babel/types': 7.29.0
+    optional: true
+
   '@babel/types@7.28.6':
     dependencies:
       '@babel/helper-string-parser': 7.27.1
@@ -3365,26 +3380,11 @@ snapshots:
       '@babel/helper-string-parser': 7.27.1
       '@babel/helper-validator-identifier': 7.28.5
 
-  '@braintree/sanitize-url@7.1.1': {}
+  '@braintree/sanitize-url@7.1.2': {}
 
   '@bufbuild/protobuf@2.10.2': {}
 
-  '@chevrotain/cst-dts-gen@11.0.3':
-    dependencies:
-      '@chevrotain/gast': 11.0.3
-      '@chevrotain/types': 11.0.3
-      lodash-es: 4.18.1
-
-  '@chevrotain/gast@11.0.3':
-    dependencies:
-      '@chevrotain/types': 11.0.3
-      lodash-es: 4.18.1
-
-  '@chevrotain/regexp-to-ast@11.0.3': {}
-
-  '@chevrotain/types@11.0.3': {}
-
-  '@chevrotain/utils@11.0.3': {}
+  '@chevrotain/types@11.1.2': {}
 
   '@docsearch/css@4.6.3': {}
 
@@ -3564,11 +3564,11 @@ snapshots:
 
   '@iconify/types@2.0.0': {}
 
-  '@iconify/utils@3.1.0':
+  '@iconify/utils@3.1.3':
     dependencies:
       '@antfu/install-pkg': 1.1.0
       '@iconify/types': 2.0.0
-      mlly: 1.8.0
+      import-meta-resolve: 4.2.0
 
   '@jridgewell/sourcemap-codec@1.5.5': {}
 
@@ -3714,12 +3714,13 @@ snapshots:
     optionalDependencies:
       markdown-it: 14.1.1
 
-  '@mdit/plugin-katex-slim@0.26.2(markdown-it@14.1.1)':
+  '@mdit/plugin-katex-slim@0.26.2(katex@0.16.45)(markdown-it@14.1.1)':
     dependencies:
       '@mdit/helper': 0.23.2(markdown-it@14.1.1)
       '@mdit/plugin-tex': 0.24.2(markdown-it@14.1.1)
       '@types/markdown-it': 14.1.2
     optionalDependencies:
+      katex: 0.16.45
       markdown-it: 14.1.1
 
   '@mdit/plugin-layout@0.2.2(markdown-it@14.1.1)':
@@ -3803,9 +3804,9 @@ snapshots:
     optionalDependencies:
       markdown-it: 14.1.1
 
-  '@mermaid-js/parser@0.6.3':
+  '@mermaid-js/parser@1.1.1':
     dependencies:
-      langium: 3.3.1
+      '@chevrotain/types': 11.1.2
 
   '@napi-rs/wasm-runtime@1.1.4(@emnapi/core@1.9.2)(@emnapi/runtime@1.9.2)':
     dependencies:
@@ -4258,6 +4259,11 @@ snapshots:
 
   '@ungap/structured-clone@1.3.0': {}
 
+  '@upsetjs/venn.js@2.0.0':
+    optionalDependencies:
+      d3-selection: 3.0.0
+      d3-transition: 3.0.1(d3-selection@3.0.0)
+
   '@vitejs/plugin-vue@6.0.5(vite@8.0.8(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.32)':
     dependencies:
       '@rolldown/pluginutils': 1.0.0-rc.2
@@ -4280,6 +4286,15 @@ snapshots:
       estree-walker: 2.0.2
       source-map-js: 1.2.1
 
+  '@vue/compiler-core@3.5.34':
+    dependencies:
+      '@babel/parser': 7.29.3
+      '@vue/shared': 3.5.34
+      entities: 7.0.1
+      estree-walker: 2.0.2
+      source-map-js: 1.2.1
+    optional: true
+
   '@vue/compiler-dom@3.5.26':
     dependencies:
       '@vue/compiler-core': 3.5.26
@@ -4290,6 +4305,12 @@ snapshots:
       '@vue/compiler-core': 3.5.32
       '@vue/shared': 3.5.32
 
+  '@vue/compiler-dom@3.5.34':
+    dependencies:
+      '@vue/compiler-core': 3.5.34
+      '@vue/shared': 3.5.34
+    optional: true
+
   '@vue/compiler-sfc@3.5.26':
     dependencies:
       '@babel/parser': 7.28.6
@@ -4314,6 +4335,19 @@ snapshots:
       postcss: 8.5.8
       source-map-js: 1.2.1
 
+  '@vue/compiler-sfc@3.5.34':
+    dependencies:
+      '@babel/parser': 7.29.3
+      '@vue/compiler-core': 3.5.34
+      '@vue/compiler-dom': 3.5.34
+      '@vue/compiler-ssr': 3.5.34
+      '@vue/shared': 3.5.34
+      estree-walker: 2.0.2
+      magic-string: 0.30.21
+      postcss: 8.5.14
+      source-map-js: 1.2.1
+    optional: true
+
   '@vue/compiler-ssr@3.5.26':
     dependencies:
       '@vue/compiler-dom': 3.5.26
@@ -4324,6 +4358,12 @@ snapshots:
       '@vue/compiler-dom': 3.5.32
       '@vue/shared': 3.5.32
 
+  '@vue/compiler-ssr@3.5.34':
+    dependencies:
+      '@vue/compiler-dom': 3.5.34
+      '@vue/shared': 3.5.34
+    optional: true
+
   '@vue/devtools-api@6.6.4': {}
 
   '@vue/devtools-api@8.1.1':
@@ -4347,6 +4387,11 @@ snapshots:
     dependencies:
       '@vue/shared': 3.5.32
 
+  '@vue/reactivity@3.5.34':
+    dependencies:
+      '@vue/shared': 3.5.34
+    optional: true
+
   '@vue/runtime-core@3.5.26':
     dependencies:
       '@vue/reactivity': 3.5.26
@@ -4357,6 +4402,12 @@ snapshots:
       '@vue/reactivity': 3.5.32
       '@vue/shared': 3.5.32
 
+  '@vue/runtime-core@3.5.34':
+    dependencies:
+      '@vue/reactivity': 3.5.34
+      '@vue/shared': 3.5.34
+    optional: true
+
   '@vue/runtime-dom@3.5.26':
     dependencies:
       '@vue/reactivity': 3.5.26
@@ -4371,6 +4422,14 @@ snapshots:
       '@vue/shared': 3.5.32
       csstype: 3.2.3
 
+  '@vue/runtime-dom@3.5.34':
+    dependencies:
+      '@vue/reactivity': 3.5.34
+      '@vue/runtime-core': 3.5.34
+      '@vue/shared': 3.5.34
+      csstype: 3.2.3
+    optional: true
+
   '@vue/server-renderer@3.5.26(vue@3.5.26)':
     dependencies:
       '@vue/compiler-ssr': 3.5.26
@@ -4383,10 +4442,20 @@ snapshots:
       '@vue/shared': 3.5.32
       vue: 3.5.32
 
+  '@vue/server-renderer@3.5.34(vue@3.5.34)':
+    dependencies:
+      '@vue/compiler-ssr': 3.5.34
+      '@vue/shared': 3.5.34
+      vue: 3.5.34
+    optional: true
+
   '@vue/shared@3.5.26': {}
 
   '@vue/shared@3.5.32': {}
 
+  '@vue/shared@3.5.34':
+    optional: true
+
   '@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3)':
     dependencies:
       '@vitejs/plugin-vue': 6.0.5(vite@8.0.8(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.32)
@@ -4641,7 +4710,7 @@ snapshots:
       - '@vuepress/bundler-webpack'
       - typescript
 
-  '@vuepress/plugin-markdown-chart@2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(markdown-it@14.1.1)(mermaid@11.12.2)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))':
+  '@vuepress/plugin-markdown-chart@2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(markdown-it@14.1.1)(mermaid@11.15.0)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))':
     dependencies:
       '@mdit/plugin-container': 0.23.2(markdown-it@14.1.1)
       '@mdit/plugin-plantuml': 0.24.2(markdown-it@14.1.1)
@@ -4650,7 +4719,7 @@ snapshots:
       vue: 3.5.32
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26)
     optionalDependencies:
-      mermaid: 11.12.2
+      mermaid: 11.15.0
     transitivePeerDependencies:
       - '@vuepress/bundler-vite'
       - '@vuepress/bundler-webpack'
@@ -4715,14 +4784,16 @@ snapshots:
       - markdown-it
       - typescript
 
-  '@vuepress/plugin-markdown-math@2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(markdown-it@14.1.1)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))':
+  '@vuepress/plugin-markdown-math@2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(katex@0.16.45)(markdown-it@14.1.1)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))':
     dependencies:
-      '@mdit/plugin-katex-slim': 0.26.2(markdown-it@14.1.1)
+      '@mdit/plugin-katex-slim': 0.26.2(katex@0.16.45)(markdown-it@14.1.1)
       '@mdit/plugin-mathjax-slim': 0.26.2(markdown-it@14.1.1)
       '@types/markdown-it': 14.1.2
       '@vuepress/helper': 2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))
       vue: 3.5.32
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26)
+    optionalDependencies:
+      katex: 0.16.45
     transitivePeerDependencies:
       - '@mathjax/mathjax-newcm-font'
       - '@vuepress/bundler-vite'
@@ -4861,7 +4932,7 @@ snapshots:
     dependencies:
       '@vuepress/helper': 2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))
       chokidar: 5.0.0
-      vue: 3.5.32
+      vue: 3.5.34
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26)
     transitivePeerDependencies:
       - '@vuepress/bundler-vite'
@@ -4906,10 +4977,10 @@ snapshots:
   '@vuepress/plugin-slimsearch@2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))':
     dependencies:
       '@vuepress/helper': 2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))
-      '@vueuse/core': 14.2.1(vue@3.5.32)
+      '@vueuse/core': 14.3.0(vue@3.5.34)
       cheerio: 1.2.0
       slimsearch: 2.3.0
-      vue: 3.5.32
+      vue: 3.5.34
       vuepress: 2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26)
     transitivePeerDependencies:
       - '@vuepress/bundler-vite'
@@ -4954,15 +5025,29 @@ snapshots:
       '@vueuse/shared': 14.2.1(vue@3.5.32)
       vue: 3.5.32
 
+  '@vueuse/core@14.3.0(vue@3.5.34)':
+    dependencies:
+      '@types/web-bluetooth': 0.0.21
+      '@vueuse/metadata': 14.3.0
+      '@vueuse/shared': 14.3.0(vue@3.5.34)
+      vue: 3.5.34
+    optional: true
+
   '@vueuse/metadata@14.2.1': {}
 
+  '@vueuse/metadata@14.3.0':
+    optional: true
+
   '@vueuse/shared@14.2.1(vue@3.5.32)':
     dependencies:
       vue: 3.5.32
 
-  '@xmldom/xmldom@0.9.10': {}
+  '@vueuse/shared@14.3.0(vue@3.5.34)':
+    dependencies:
+      vue: 3.5.34
+    optional: true
 
-  acorn@8.15.0: {}
+  '@xmldom/xmldom@0.9.10': {}
 
   ansi-regex@5.0.1: {}
 
@@ -5056,20 +5141,6 @@ snapshots:
       undici: 7.24.6
       whatwg-mimetype: 4.0.0
 
-  chevrotain-allstar@0.3.1(chevrotain@11.0.3):
-    dependencies:
-      chevrotain: 11.0.3
-      lodash-es: 4.18.1
-
-  chevrotain@11.0.3:
-    dependencies:
-      '@chevrotain/cst-dts-gen': 11.0.3
-      '@chevrotain/gast': 11.0.3
-      '@chevrotain/regexp-to-ast': 11.0.3
-      '@chevrotain/types': 11.0.3
-      '@chevrotain/utils': 11.0.3
-      lodash-es: 4.18.1
-
   chokidar@4.0.3:
     dependencies:
       readdirp: 4.1.2
@@ -5108,8 +5179,6 @@ snapshots:
 
   commander@8.3.0: {}
 
-  confbox@0.1.8: {}
-
   connect-history-api-fallback@2.0.0: {}
 
   cose-base@1.0.3:
@@ -5134,17 +5203,17 @@ snapshots:
 
   csstype@3.2.3: {}
 
-  cytoscape-cose-bilkent@4.1.0(cytoscape@3.33.1):
+  cytoscape-cose-bilkent@4.1.0(cytoscape@3.33.3):
     dependencies:
       cose-base: 1.0.3
-      cytoscape: 3.33.1
+      cytoscape: 3.33.3
 
-  cytoscape-fcose@2.2.0(cytoscape@3.33.1):
+  cytoscape-fcose@2.2.0(cytoscape@3.33.3):
     dependencies:
       cose-base: 2.2.0
-      cytoscape: 3.33.1
+      cytoscape: 3.33.3
 
-  cytoscape@3.33.1: {}
+  cytoscape@3.33.3: {}
 
   d3-array@2.12.1:
     dependencies:
@@ -5176,7 +5245,7 @@ snapshots:
 
   d3-delaunay@6.0.4:
     dependencies:
-      delaunator: 5.0.1
+      delaunator: 5.1.0
 
   d3-dispatch@3.0.1: {}
 
@@ -5313,12 +5382,12 @@ snapshots:
       d3-transition: 3.0.1(d3-selection@3.0.0)
       d3-zoom: 3.0.0
 
-  dagre-d3-es@7.0.13:
+  dagre-d3-es@7.0.14:
     dependencies:
       d3: 7.9.0
       lodash-es: 4.18.1
 
-  dayjs@1.11.19: {}
+  dayjs@1.11.20: {}
 
   debug@4.4.3:
     dependencies:
@@ -5330,9 +5399,9 @@ snapshots:
     dependencies:
       character-entities: 2.0.2
 
-  delaunator@5.0.1:
+  delaunator@5.1.0:
     dependencies:
-      robust-predicates: 3.0.2
+      robust-predicates: 3.0.3
 
   dequal@2.0.3: {}
 
@@ -5356,7 +5425,7 @@ snapshots:
     dependencies:
       domelementtype: 2.3.0
 
-  dompurify@3.4.0:
+  dompurify@3.4.2:
     optionalDependencies:
       '@types/trusted-types': 2.0.7
 
@@ -5385,6 +5454,8 @@ snapshots:
 
   envinfo@7.21.0: {}
 
+  es-toolkit@1.46.1: {}
+
   esbuild@0.25.12:
     optionalDependencies:
       '@esbuild/aix-ppc64': 0.25.12
@@ -5609,6 +5680,8 @@ snapshots:
 
   immutable@5.1.5: {}
 
+  import-meta-resolve@4.2.0: {}
+
   internmap@1.0.1: {}
 
   internmap@2.0.3: {}
@@ -5659,7 +5732,7 @@ snapshots:
     optionalDependencies:
       graceful-fs: 4.2.11
 
-  katex@0.16.27:
+  katex@0.16.45:
     dependencies:
       commander: 8.3.0
 
@@ -5667,14 +5740,6 @@ snapshots:
 
   kind-of@6.0.3: {}
 
-  langium@3.3.1:
-    dependencies:
-      chevrotain: 11.0.3
-      chevrotain-allstar: 0.3.1(chevrotain@11.0.3)
-      vscode-languageserver: 9.0.1
-      vscode-languageserver-textdocument: 1.0.12
-      vscode-uri: 3.0.8
-
   layout-base@1.0.2: {}
 
   layout-base@2.0.1: {}
@@ -5842,28 +5907,29 @@ snapshots:
 
   merge2@1.4.1: {}
 
-  mermaid@11.12.2:
+  mermaid@11.15.0:
     dependencies:
-      '@braintree/sanitize-url': 7.1.1
-      '@iconify/utils': 3.1.0
-      '@mermaid-js/parser': 0.6.3
+      '@braintree/sanitize-url': 7.1.2
+      '@iconify/utils': 3.1.3
+      '@mermaid-js/parser': 1.1.1
       '@types/d3': 7.4.3
-      cytoscape: 3.33.1
-      cytoscape-cose-bilkent: 4.1.0(cytoscape@3.33.1)
-      cytoscape-fcose: 2.2.0(cytoscape@3.33.1)
+      '@upsetjs/venn.js': 2.0.0
+      cytoscape: 3.33.3
+      cytoscape-cose-bilkent: 4.1.0(cytoscape@3.33.3)
+      cytoscape-fcose: 2.2.0(cytoscape@3.33.3)
       d3: 7.9.0
       d3-sankey: 0.12.3
-      dagre-d3-es: 7.0.13
-      dayjs: 1.11.19
-      dompurify: 3.4.0
-      katex: 0.16.27
+      dagre-d3-es: 7.0.14
+      dayjs: 1.11.20
+      dompurify: 3.4.2
+      es-toolkit: 1.46.1
+      katex: 0.16.45
       khroma: 2.1.0
-      lodash-es: 4.18.1
       marked: 16.4.2
       roughjs: 4.6.6
-      stylis: 4.3.6
+      stylis: 4.4.0
       ts-dedent: 2.2.0
-      uuid: 11.1.0
+      uuid: 14.0.0
 
   mhchemparser@4.2.1: {}
 
@@ -5926,7 +5992,7 @@ snapshots:
     dependencies:
       '@types/katex': 0.16.8
       devlop: 1.1.0
-      katex: 0.16.27
+      katex: 0.16.45
       micromark-factory-space: 2.0.1
       micromark-util-character: 2.1.1
       micromark-util-symbol: 2.0.1
@@ -6048,13 +6114,6 @@ snapshots:
 
   mj-context-menu@0.6.1: {}
 
-  mlly@1.8.0:
-    dependencies:
-      acorn: 8.15.0
-      pathe: 2.0.3
-      pkg-types: 1.3.1
-      ufo: 1.6.3
-
   ms@2.1.3: {}
 
   nano-staged@0.8.0:
@@ -6063,6 +6122,9 @@ snapshots:
 
   nanoid@3.3.11: {}
 
+  nanoid@3.3.12:
+    optional: true
+
   nanoid@5.1.7: {}
 
   node-addon-api@7.1.1:
@@ -6138,8 +6200,6 @@ snapshots:
 
   path-type@5.0.0: {}
 
-  pathe@2.0.3: {}
-
   perfect-debounce@2.0.0: {}
 
   photoswipe@5.4.4: {}
@@ -6148,12 +6208,6 @@ snapshots:
 
   picomatch@4.0.4: {}
 
-  pkg-types@1.3.1:
-    dependencies:
-      confbox: 0.1.8
-      mlly: 1.8.0
-      pathe: 2.0.3
-
   pngjs@5.0.0: {}
 
   points-on-curve@0.2.0: {}
@@ -6172,6 +6226,13 @@ snapshots:
 
   postcss-value-parser@4.2.0: {}
 
+  postcss@8.5.14:
+    dependencies:
+      nanoid: 3.3.12
+      picocolors: 1.1.1
+      source-map-js: 1.2.1
+    optional: true
+
   postcss@8.5.6:
     dependencies:
       nanoid: 3.3.11
@@ -6240,7 +6301,7 @@ snapshots:
 
   reusify@1.1.0: {}
 
-  robust-predicates@3.0.2: {}
+  robust-predicates@3.0.3: {}
 
   rolldown@1.0.0-rc.15:
     dependencies:
@@ -6484,7 +6545,7 @@ snapshots:
 
   strip-bom-string@1.0.0: {}
 
-  stylis@4.3.6: {}
+  stylis@4.4.0: {}
 
   supports-color@8.1.1:
     dependencies:
@@ -6500,7 +6561,7 @@ snapshots:
     dependencies:
       '@pkgr/core': 0.2.9
 
-  tinyexec@1.0.2: {}
+  tinyexec@1.1.2: {}
 
   tinyglobby@0.2.15:
     dependencies:
@@ -6523,8 +6584,6 @@ snapshots:
 
   uc.micro@2.1.0: {}
 
-  ufo@1.6.3: {}
-
   undici-types@7.16.0: {}
 
   undici@7.24.6: {}
@@ -6574,7 +6633,7 @@ snapshots:
       escalade: 3.2.0
       picocolors: 1.1.1
 
-  uuid@11.1.0: {}
+  uuid@14.0.0: {}
 
   varint@6.0.0: {}
 
@@ -6607,23 +6666,6 @@ snapshots:
       sass-embedded: 1.97.2
       yaml: 2.8.3
 
-  vscode-jsonrpc@8.2.0: {}
-
-  vscode-languageserver-protocol@3.17.5:
-    dependencies:
-      vscode-jsonrpc: 8.2.0
-      vscode-languageserver-types: 3.17.5
-
-  vscode-languageserver-textdocument@1.0.12: {}
-
-  vscode-languageserver-types@3.17.5: {}
-
-  vscode-languageserver@9.0.1:
-    dependencies:
-      vscode-languageserver-protocol: 3.17.5
-
-  vscode-uri@3.0.8: {}
-
   vue-router@4.6.4(vue@3.5.32):
     dependencies:
       '@vue/devtools-api': 6.6.4
@@ -6645,6 +6687,15 @@ snapshots:
       '@vue/server-renderer': 3.5.32(vue@3.5.32)
       '@vue/shared': 3.5.32
 
+  vue@3.5.34:
+    dependencies:
+      '@vue/compiler-dom': 3.5.34
+      '@vue/compiler-sfc': 3.5.34
+      '@vue/runtime-dom': 3.5.34
+      '@vue/server-renderer': 3.5.34(vue@3.5.34)
+      '@vue/shared': 3.5.34
+    optional: true
+
   vuepress-plugin-components@2.0.0-rc.105(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(sass-embedded@1.97.2)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26)):
     dependencies:
       '@stackblitz/sdk': 1.11.0
@@ -6695,7 +6746,7 @@ snapshots:
       - '@vuepress/bundler-webpack'
       - typescript
 
-  vuepress-theme-hope@2.0.0-rc.105(fc70fbce1047e3fa2c1809b2f58b1c9a):
+  vuepress-theme-hope@2.0.0-rc.105(937e492359f113535fdf44b9e3e1ba3c):
     dependencies:
       '@vuepress/helper': 2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))
       '@vuepress/plugin-active-header-links': 2.0.0-rc.126(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))
@@ -6708,12 +6759,12 @@ snapshots:
       '@vuepress/plugin-git': 2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))
       '@vuepress/plugin-icon': 2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(markdown-it@14.1.1)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))
       '@vuepress/plugin-links-check': 2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))
-      '@vuepress/plugin-markdown-chart': 2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(markdown-it@14.1.1)(mermaid@11.12.2)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))
+      '@vuepress/plugin-markdown-chart': 2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(markdown-it@14.1.1)(mermaid@11.15.0)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))
       '@vuepress/plugin-markdown-ext': 2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(markdown-it@14.1.1)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))
       '@vuepress/plugin-markdown-hint': 2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(markdown-it@14.1.1)(vue@3.5.32)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))
       '@vuepress/plugin-markdown-image': 2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(markdown-it@14.1.1)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))
       '@vuepress/plugin-markdown-include': 2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(markdown-it@14.1.1)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))
-      '@vuepress/plugin-markdown-math': 2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(markdown-it@14.1.1)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))
+      '@vuepress/plugin-markdown-math': 2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(katex@0.16.45)(markdown-it@14.1.1)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))
       '@vuepress/plugin-markdown-preview': 2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(markdown-it@14.1.1)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))
       '@vuepress/plugin-markdown-stylize': 2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(markdown-it@14.1.1)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))
       '@vuepress/plugin-markdown-tab': 2.0.0-rc.127(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(markdown-it@14.1.1)(vuepress@2.0.0-rc.26(@vuepress/bundler-vite@2.0.0-rc.26(@types/node@25.0.9)(esbuild@0.27.7)(sass-embedded@1.97.2)(yaml@2.8.3))(vue@3.5.26))