diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index a17c902..de71fbb 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -2190,6 +2190,10 @@ packages:
     resolution: {integrity: sha512-XvqR7FgOHtWupfMiigNzmh+MgUVmDGU2kXZm899ZkPfcuoPuFxyHmXsgATDpFZDAXCI8tvinaVcDo8PIIJSo4A==}
     hasBin: true
 
+  katex@0.16.22:
+    resolution: {integrity: sha512-XCHRdUw4lf3SKBaJe4EvgqIuWwkPSo9XoeO8GjQW94Bp7TWv9hNhzZjZ+OH9yf1UmLygb7DIT5GSFQiyt16zYg==}
+    hasBin: true
+
   keypress@0.1.0:
     resolution: {integrity: sha512-x0yf9PL/nx9Nw9oLL8ZVErFAk85/lslwEP7Vz7s5SI1ODXZIgit3C5qyWjw4DxOuO/3Hb4866SQh28a1V1d+WA==}
 
@@ -2289,8 +2293,8 @@ packages:
     resolution: {integrity: sha512-u00joA/syf3VhWh6/ybVFkib5Zpj2e5KB/cfCei8fkSRuums6nyisTWGqjTWIOFoFwuXoTBQQiqlB4qFKp8ncQ==}
     engines: {node: '>=18'}
 
-  marked@15.0.7:
-    resolution: {integrity: sha512-dgLIeKGLx5FwziAnsk4ONoGwHwGPJzselimvlVskE9XLN4Orv9u2VA3GWw/lYUqjfA0rUT/6fqKwfZJapP9BEg==}
+  marked@15.0.8:
+    resolution: {integrity: sha512-rli4l2LyZqpQuRve5C0rkn6pj3hT8EWPC+zkAxFTAJLxRbENfTAhEQq9itrmf1Y81QtAX5D/MYlGlIomNgj9lA==}
     engines: {node: '>= 18'}
     hasBin: true
 
@@ -3009,8 +3013,8 @@ packages:
     engines: {node: ^18.0.0 || ^20.0.0 || >=22.0.0}
     hasBin: true
 
-  vite@5.4.17:
-    resolution: {integrity: sha512-5+VqZryDj4wgCs55o9Lp+p8GE78TLVg0lasCH5xFZ4jacZjtqZa6JUw9/p0WeAojaOfncSM6v77InkFPGnvPvg==}
+  vite@5.4.18:
+    resolution: {integrity: sha512-1oDcnEp3lVyHCuQ2YFelM4Alm2o91xNoMncRm1U7S+JdYfYOvbiGZ3/CxGttrOu2M/KcGz7cRC2DoNUA6urmMA==}
     engines: {node: ^18.0.0 || >=20.0.0}
     hasBin: true
     peerDependencies:
@@ -3040,8 +3044,8 @@ packages:
       terser:
         optional: true
 
-  vite@6.2.5:
-    resolution: {integrity: sha512-j023J/hCAa4pRIUH6J9HemwYfjB5llR2Ps0CWeikOtdR8+pAURAk0DoJC5/mm9kd+UgdnIy7d6HE4EAvlYhPhA==}
+  vite@6.2.6:
+    resolution: {integrity: sha512-9xpjNl3kR4rVDZgPNdTL0/c6ao4km69a/2ihNQbcANz8RuCOK3hQBmLSJf3bRKVQjVMda+YvizNE8AwvogcPbw==}
     engines: {node: ^18.0.0 || ^20.0.0 || >=22.0.0}
     hasBin: true
     peerDependencies:
@@ -4179,9 +4183,9 @@ snapshots:
   '@unrs/resolver-binding-win32-x64-msvc@1.3.3':
     optional: true
 
-  '@vitejs/plugin-vue@5.2.3(vite@5.4.17(@types/node@22.13.14))(vue@3.5.13(typescript@5.8.2))':
+  '@vitejs/plugin-vue@5.2.3(vite@5.4.18(@types/node@22.13.14))(vue@3.5.13(typescript@5.8.2))':
     dependencies:
-      vite: 5.4.17(@types/node@22.13.14)
+      vite: 5.4.18(@types/node@22.13.14)
       vue: 3.5.13(typescript@5.8.2)
 
   '@vitest/eslint-plugin@1.1.39(@typescript-eslint/utils@8.29.0(eslint@9.23.0)(typescript@5.8.2))(eslint@9.23.0)(typescript@5.8.2)(vitest@3.0.9(@types/debug@4.1.12)(@types/node@22.13.14)(yaml@2.7.1))':
@@ -4199,13 +4203,13 @@ snapshots:
       chai: 5.2.0
       tinyrainbow: 2.0.0
 
-  '@vitest/mocker@3.0.9(vite@6.2.5(@types/node@22.13.14)(yaml@2.7.1))':
+  '@vitest/mocker@3.0.9(vite@6.2.6(@types/node@22.13.14)(yaml@2.7.1))':
     dependencies:
       '@vitest/spy': 3.0.9
       estree-walker: 3.0.3
       magic-string: 0.30.17
     optionalDependencies:
-      vite: 6.2.5(@types/node@22.13.14)(yaml@2.7.1)
+      vite: 6.2.6(@types/node@22.13.14)(yaml@2.7.1)
 
   '@vitest/pretty-format@3.0.9':
     dependencies:
@@ -5384,6 +5388,10 @@ snapshots:
     dependencies:
       commander: 8.3.0
 
+  katex@0.16.22:
+    dependencies:
+      commander: 8.3.0
+
   keypress@0.1.0: {}
 
   keyv@4.5.4:
@@ -5517,7 +5525,7 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  marked@15.0.7: {}
+  marked@15.0.8: {}
 
   mdast-util-find-and-replace@3.0.2:
     dependencies:
@@ -5653,10 +5661,10 @@ snapshots:
       dagre-d3-es: 7.0.11
       dayjs: 1.11.13
       dompurify: 3.2.5
-      katex: 0.16.21
+      katex: 0.16.22
       khroma: 2.1.0
       lodash-es: 4.17.21
-      marked: 15.0.7
+      marked: 15.0.8
       roughjs: 4.6.6
       stylis: 4.3.6
       ts-dedent: 2.2.0
@@ -6441,7 +6449,7 @@ snapshots:
       debug: 4.4.0
       es-module-lexer: 1.6.0
       pathe: 2.0.3
-      vite: 6.2.5(@types/node@22.13.14)(yaml@2.7.1)
+      vite: 6.2.6(@types/node@22.13.14)(yaml@2.7.1)
     transitivePeerDependencies:
       - '@types/node'
       - jiti
@@ -6456,7 +6464,7 @@ snapshots:
       - tsx
       - yaml
 
-  vite@5.4.17(@types/node@22.13.14):
+  vite@5.4.18(@types/node@22.13.14):
     dependencies:
       esbuild: 0.21.5
       postcss: 8.5.3
@@ -6465,7 +6473,7 @@ snapshots:
       '@types/node': 22.13.14
       fsevents: 2.3.3
 
-  vite@6.2.5(@types/node@22.13.14)(yaml@2.7.1):
+  vite@6.2.6(@types/node@22.13.14)(yaml@2.7.1):
     dependencies:
       esbuild: 0.25.1
       postcss: 8.5.3
@@ -6491,7 +6499,7 @@ snapshots:
       '@shikijs/transformers': 2.5.0
       '@shikijs/types': 2.5.0
       '@types/markdown-it': 14.1.2
-      '@vitejs/plugin-vue': 5.2.3(vite@5.4.17(@types/node@22.13.14))(vue@3.5.13(typescript@5.8.2))
+      '@vitejs/plugin-vue': 5.2.3(vite@5.4.18(@types/node@22.13.14))(vue@3.5.13(typescript@5.8.2))
       '@vue/devtools-api': 7.7.2
       '@vue/shared': 3.5.13
       '@vueuse/core': 12.8.2(typescript@5.8.2)
@@ -6500,7 +6508,7 @@ snapshots:
       mark.js: 8.11.1
       minisearch: 7.1.2
       shiki: 2.5.0
-      vite: 5.4.17(@types/node@22.13.14)
+      vite: 5.4.18(@types/node@22.13.14)
       vue: 3.5.13(typescript@5.8.2)
     optionalDependencies:
       postcss: 8.5.3
@@ -6534,7 +6542,7 @@ snapshots:
   vitest@3.0.9(@types/debug@4.1.12)(@types/node@22.13.14)(yaml@2.7.1):
     dependencies:
       '@vitest/expect': 3.0.9
-      '@vitest/mocker': 3.0.9(vite@6.2.5(@types/node@22.13.14)(yaml@2.7.1))
+      '@vitest/mocker': 3.0.9(vite@6.2.6(@types/node@22.13.14)(yaml@2.7.1))
       '@vitest/pretty-format': 3.0.9
       '@vitest/runner': 3.0.9
       '@vitest/snapshot': 3.0.9
@@ -6550,7 +6558,7 @@ snapshots:
       tinyexec: 0.3.2
       tinypool: 1.0.2
       tinyrainbow: 2.0.0
-      vite: 6.2.5(@types/node@22.13.14)(yaml@2.7.1)
+      vite: 6.2.6(@types/node@22.13.14)(yaml@2.7.1)
       vite-node: 3.0.9(@types/node@22.13.14)(yaml@2.7.1)
       why-is-node-running: 2.3.0
     optionalDependencies: