diff --git a/package.json b/package.json
index da6b830f3d..4e9ea58c83 100644
--- a/package.json
+++ b/package.json
@@ -51,7 +51,7 @@
     "idiomorph": "0.7.4",
     "jquery": "4.0.0",
     "js-yaml": "4.1.1",
-    "katex": "0.16.45",
+    "katex": "0.16.46",
     "mermaid": "11.15.0",
     "online-3d-viewer": "0.18.0",
     "pdfobject": "2.3.1",
@@ -123,6 +123,6 @@
     "typescript-eslint": "8.59.3",
     "updates": "17.16.11",
     "vitest": "4.1.6",
-    "vue-tsc": "3.2.8"
+    "vue-tsc": "3.2.9"
   }
 }
diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index 6bd670ca40..d882eac631 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -166,8 +166,8 @@ importers:
         specifier: 4.1.1
         version: 4.1.1
       katex:
-        specifier: 0.16.45
-        version: 0.16.45
+        specifier: 0.16.46
+        version: 0.16.46
       mermaid:
         specifier: 11.15.0
         version: 11.15.0
@@ -374,8 +374,8 @@ importers:
         specifier: 4.1.6
         version: 4.1.6(@types/node@25.7.0)(happy-dom@20.9.0)(jsdom@20.0.3)(vite@8.0.12(@types/node@25.7.0)(esbuild@0.28.0)(jiti@2.7.0))
       vue-tsc:
-        specifier: 3.2.8
-        version: 3.2.8(typescript@6.0.3)
+        specifier: 3.2.9
+        version: 3.2.9(typescript@6.0.3)
 
 packages:
 
@@ -1753,8 +1753,8 @@ packages:
   '@vue/compiler-ssr@3.5.34':
     resolution: {integrity: sha512-cDtTHKibkThKGHH1SP+WdccquNRYQDFH6rRjQCqT9G2ltFAfoR5pUftpab/z+aM5mW9HLLVQW7hfKKQe/1GBeQ==}
 
-  '@vue/language-core@3.2.8':
-    resolution: {integrity: sha512-9OiSPQFiAAWNVnXb0d2dcTmcKnFQamhuNES6ayyISrb/mwPWVgoGdAqSfCWqKhQpa3D5gDTcYD+w7ObiheZ81g==}
+  '@vue/language-core@3.2.9':
+    resolution: {integrity: sha512-ie0ojt/0fU/GfIogh+zgHbaYRPlt9S+cLOxcWwF7nTSFh897BVgnFKL2byT4kpp1mlqYWZ2psGwSniyE2xsxYw==}
 
   '@vue/reactivity@3.5.34':
     resolution: {integrity: sha512-y9XDjCEuBp+98k+UL5dbYkh57AHU4o6cxZedOPXw3bmrZZYLQsVHguGurq7hVrPCSrQtrnz1f9dssyFr+dMXfQ==}
@@ -1800,8 +1800,8 @@ packages:
   ajv@8.20.0:
     resolution: {integrity: sha512-Thbli+OlOj+iMPYFBVBfJ3OmCAnaSyNn4M1vz9T6Gka5Jt9ba/HIR56joy65tY6kx/FCF5VXNB819Y7/GUrBGA==}
 
-  alien-signals@3.1.2:
-    resolution: {integrity: sha512-d9dYqZTS90WLiU0I5c6DHj/HcKkF8ZyGN3G5x8wSbslulz70KOxaqCT0hQCo9KOyhVqzqGojvNdJXoTumZOtcw==}
+  alien-signals@3.2.1:
+    resolution: {integrity: sha512-I8FjmltrfnDFoZedi5CG8DghVYNhzb/Ijluz7tCSJH0xpd0484Kowhbb1XDYOxfJpU1p5wnM2X54dA+IfGyD1g==}
 
   ansi-regex@5.0.1:
     resolution: {integrity: sha512-quJQXlTSUGL2LH9SUXo8VwsY4soanhgo6LNSm84E1LBcE8s3O0wpdiRzyR9z/ZZJMlMWv37qOOb9pdJlMUEKFQ==}
@@ -3101,8 +3101,8 @@ packages:
     resolution: {integrity: sha512-ZZow9HBI5O6EPgSJLUb8n2NKgmVWTwCvHGwFuJlMjvLFqlGG6pjirPhtdsseaLZjSibD8eegzmYpUZwoIlj2cQ==}
     engines: {node: '>=4.0'}
 
-  katex@0.16.45:
-    resolution: {integrity: sha512-pQpZbdBu7wCTmQUh7ufPmLr0pFoObnGUoL/yhtwJDgmmQpbkg/0HSVti25Fu4rmd1oCR6NGWe9vqTWuWv3GcNA==}
+  katex@0.16.46:
+    resolution: {integrity: sha512-WHy4Coo+bGZyH7NwJKHkS04YFsFcarWbAEOAC3EMndzdN6VSZqklLLIgfxzyaW9jDoeGYJX9SWbJPKpecox0Uw==}
     hasBin: true
 
   keyv@4.5.4:
@@ -4258,8 +4258,8 @@ packages:
     peerDependencies:
       eslint: ^8.57.0 || ^9.0.0 || ^10.0.0
 
-  vue-tsc@3.2.8:
-    resolution: {integrity: sha512-27vTLJ6Q2370obOd0PFYoYoKnmXJ521uUIedrs3Zhhhg/8YG10VOCMmwt+JQslatpAMTDbnWiitLnoD5VlIvog==}
+  vue-tsc@3.2.9:
+    resolution: {integrity: sha512-qm8/nbo+9eZc1SCndm9wT+gq23pM+wRIdHY0wjm83B3lIginHTwcdrLUyTrKjDWXbMVNjKegNrnymhpdqnCL3A==}
     hasBin: true
     peerDependencies:
       typescript: '>=5.0.0'
@@ -5928,12 +5928,12 @@ snapshots:
       '@vue/compiler-dom': 3.5.34
       '@vue/shared': 3.5.34
 
-  '@vue/language-core@3.2.8':
+  '@vue/language-core@3.2.9':
     dependencies:
       '@volar/language-core': 2.4.28
       '@vue/compiler-dom': 3.5.34
       '@vue/shared': 3.5.34
-      alien-signals: 3.1.2
+      alien-signals: 3.2.1
       muggle-string: 0.4.1
       path-browserify: 1.0.1
       picomatch: 4.0.4
@@ -5997,7 +5997,7 @@ snapshots:
       json-schema-traverse: 1.0.0
       require-from-string: 2.0.2
 
-  alien-signals@3.1.2: {}
+  alien-signals@3.2.1: {}
 
   ansi-regex@5.0.1: {}
 
@@ -7360,7 +7360,7 @@ snapshots:
       object.assign: '@nolyfill/object.assign@1.0.44'
       object.values: '@nolyfill/object.values@1.0.44'
 
-  katex@0.16.45:
+  katex@0.16.46:
     dependencies:
       commander: 8.3.0
 
@@ -7558,7 +7558,7 @@ snapshots:
       dayjs: 1.11.20
       dompurify: 3.4.2
       es-toolkit: 1.46.1
-      katex: 0.16.45
+      katex: 0.16.46
       khroma: 2.1.0
       marked: 16.4.2
       roughjs: 4.6.6
@@ -7625,7 +7625,7 @@ snapshots:
     dependencies:
       '@types/katex': 0.16.8
       devlop: 1.1.0
-      katex: 0.16.45
+      katex: 0.16.46
       micromark-factory-space: 2.0.1
       micromark-util-character: 2.1.1
       micromark-util-symbol: 2.0.1
@@ -8606,10 +8606,10 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
-  vue-tsc@3.2.8(typescript@6.0.3):
+  vue-tsc@3.2.9(typescript@6.0.3):
     dependencies:
       '@volar/typescript': 2.4.28
-      '@vue/language-core': 3.2.8
+      '@vue/language-core': 3.2.9
       typescript: 6.0.3
 
   vue@3.5.34(typescript@6.0.3):