diff --git a/package-lock.json b/package-lock.json
index dd906d29f..85a2056ba 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -17,7 +17,7 @@
         "mermaid": "^10.9.1",
         "reveal.js": "^5.1.0",
         "start-server-and-test": "^2.0.4",
-        "vue": "^3.4.32",
+        "vue": "^3.4.33",
         "vuepress": "2.0.0-rc.13",
         "vuepress-theme-hope": "2.0.0-rc.49"
       }
@@ -2134,39 +2134,39 @@
       }
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-      "version": "3.4.32",
-      "resolved": "https://registry.npmjs.org/@vue/compiler-core/-/compiler-core-3.4.32.tgz",
-      "integrity": "sha512-8tCVWkkLe/QCWIsrIvExUGnhYCAOroUs5dzhSoKL5w4MJS8uIYiou+pOPSVIOALOQ80B0jBs+Ri+kd5+MBnCDw==",
+      "version": "3.4.33",
+      "resolved": "https://registry.npmjs.org/@vue/compiler-core/-/compiler-core-3.4.33.tgz",
+      "integrity": "sha512-MoIREbkdPQlnGfSKDMgzTqzqx5nmEjIc0ydLVYlTACGBsfvOJ4tHSbZXKVF536n6fB+0eZaGEOqsGThPpdvF5A==",
       "dev": true,
       "dependencies": {
         "@babel/parser": "^7.24.7",
-        "@vue/shared": "3.4.32",
+        "@vue/shared": "3.4.33",
         "entities": "^4.5.0",
         "estree-walker": "^2.0.2",
         "source-map-js": "^1.2.0"
       }
     },
     "node_modules/@vue/compiler-dom": {
-      "version": "3.4.32",
-      "resolved": "https://registry.npmjs.org/@vue/compiler-dom/-/compiler-dom-3.4.32.tgz",
-      "integrity": "sha512-PbSgt9KuYo4fyb90dynuPc0XFTfFPs3sCTbPLOLlo+PrUESW1gn/NjSsUvhR+mI2AmmEzexwYMxbHDldxSOr2A==",
+      "version": "3.4.33",
+      "resolved": "https://registry.npmjs.org/@vue/compiler-dom/-/compiler-dom-3.4.33.tgz",
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       "dev": true,
       "dependencies": {
-        "@vue/compiler-core": "3.4.32",
-        "@vue/shared": "3.4.32"
+        "@vue/compiler-core": "3.4.33",
+        "@vue/shared": "3.4.33"
       }
     },
     "node_modules/@vue/compiler-sfc": {
-      "version": "3.4.32",
-      "resolved": "https://registry.npmjs.org/@vue/compiler-sfc/-/compiler-sfc-3.4.32.tgz",
-      "integrity": "sha512-STy9im/WHfaguJnfKjjVpMHukxHUrOKjm2vVCxiojQJyo3Sb6Os8SMXBr/MI+ekpstEGkDONfqAQoSbZhspLYw==",
+      "version": "3.4.33",
+      "resolved": "https://registry.npmjs.org/@vue/compiler-sfc/-/compiler-sfc-3.4.33.tgz",
+      "integrity": "sha512-7rk7Vbkn21xMwIUpHQR4hCVejwE6nvhBOiDgoBcR03qvGqRKA7dCBSsHZhwhYUsmjlbJ7OtD5UFIyhP6BY+c8A==",
       "dev": true,
       "dependencies": {
         "@babel/parser": "^7.24.7",
-        "@vue/compiler-core": "3.4.32",
-        "@vue/compiler-dom": "3.4.32",
-        "@vue/compiler-ssr": "3.4.32",
-        "@vue/shared": "3.4.32",
+        "@vue/compiler-core": "3.4.33",
+        "@vue/compiler-dom": "3.4.33",
+        "@vue/compiler-ssr": "3.4.33",
+        "@vue/shared": "3.4.33",
         "estree-walker": "^2.0.2",
         "magic-string": "^0.30.10",
         "postcss": "^8.4.39",
@@ -2174,13 +2174,13 @@
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     "node_modules/@vue/compiler-ssr": {
-      "version": "3.4.32",
-      "resolved": "https://registry.npmjs.org/@vue/compiler-ssr/-/compiler-ssr-3.4.32.tgz",
-      "integrity": "sha512-nyu/txTecF6DrxLrpLcI34xutrvZPtHPBj9yRoPxstIquxeeyywXpYZrQMsIeDfBhlw1abJb9CbbyZvDw2kjdg==",
+      "version": "3.4.33",
+      "resolved": "https://registry.npmjs.org/@vue/compiler-ssr/-/compiler-ssr-3.4.33.tgz",
+      "integrity": "sha512-0WveC9Ai+eT/1b6LCV5IfsufBZ0HP7pSSTdDjcuW302tTEgoBw8rHVHKPbGUtzGReUFCRXbv6zQDDgucnV2WzQ==",
       "dev": true,
       "dependencies": {
-        "@vue/compiler-dom": "3.4.32",
-        "@vue/shared": "3.4.32"
+        "@vue/compiler-dom": "3.4.33",
+        "@vue/shared": "3.4.33"
       }
     },
     "node_modules/@vue/devtools-api": {
@@ -2190,53 +2190,53 @@
       "dev": true
     },
     "node_modules/@vue/reactivity": {
-      "version": "3.4.32",
-      "resolved": "https://registry.npmjs.org/@vue/reactivity/-/reactivity-3.4.32.tgz",
-      "integrity": "sha512-1P7QvghAzhSIWmiNmh4MNkLVjr2QTNDcFv2sKmytEWhR6t7BZzNicgm5ENER4uU++wbWxgRh/pSEYgdI3MDcvg==",
+      "version": "3.4.33",
+      "resolved": "https://registry.npmjs.org/@vue/reactivity/-/reactivity-3.4.33.tgz",
+      "integrity": "sha512-B24QIelahDbyHipBgbUItQblbd4w5HpG3KccL+YkGyo3maXyS253FzcTR3pSz739OTphmzlxP7JxEMWBpewilA==",
       "dev": true,
       "dependencies": {
-        "@vue/shared": "3.4.32"
+        "@vue/shared": "3.4.33"
       }
     },
     "node_modules/@vue/runtime-core": {
-      "version": "3.4.32",
-      "resolved": "https://registry.npmjs.org/@vue/runtime-core/-/runtime-core-3.4.32.tgz",
-      "integrity": "sha512-FxT2dTHUs1Hki8Ui/B1Hu339mx4H5kRJooqrNM32tGUHBPStJxwMzLIRbeGO/B1NMplU4Pg9fwOqrJtrOzkdfA==",
+      "version": "3.4.33",
+      "resolved": "https://registry.npmjs.org/@vue/runtime-core/-/runtime-core-3.4.33.tgz",
+      "integrity": "sha512-6wavthExzT4iAxpe8q37/rDmf44nyOJGISJPxCi9YsQO+8w9v0gLCFLfH5TzD1V1AYrTAdiF4Y1cgUmP68jP6w==",
       "dev": true,
       "dependencies": {
-        "@vue/reactivity": "3.4.32",
-        "@vue/shared": "3.4.32"
+        "@vue/reactivity": "3.4.33",
+        "@vue/shared": "3.4.33"
       }
     },
     "node_modules/@vue/runtime-dom": {
-      "version": "3.4.32",
-      "resolved": "https://registry.npmjs.org/@vue/runtime-dom/-/runtime-dom-3.4.32.tgz",
-      "integrity": "sha512-Xz9G+ZViRyPFQtRBCPFkhMzKn454ihCPMKUiacNaUhuTIXvyfkAq8l89IZ/kegFVyw/7KkJGRGqYdEZrf27Xsg==",
+      "version": "3.4.33",
+      "resolved": "https://registry.npmjs.org/@vue/runtime-dom/-/runtime-dom-3.4.33.tgz",
+      "integrity": "sha512-iHsMCUSFJ+4z432Bn9kZzHX+zOXa6+iw36DaVRmKYZpPt9jW9riF32SxNwB124i61kp9+AZtheQ/mKoJLerAaQ==",
       "dev": true,
       "dependencies": {
-        "@vue/reactivity": "3.4.32",
-        "@vue/runtime-core": "3.4.32",
-        "@vue/shared": "3.4.32",
+        "@vue/reactivity": "3.4.33",
+        "@vue/runtime-core": "3.4.33",
+        "@vue/shared": "3.4.33",
         "csstype": "^3.1.3"
       }
     },
     "node_modules/@vue/server-renderer": {
-      "version": "3.4.32",
-      "resolved": "https://registry.npmjs.org/@vue/server-renderer/-/server-renderer-3.4.32.tgz",
-      "integrity": "sha512-3c4rd0522Ao8hKjzgmUAbcjv2mBnvnw0Ld2f8HOMCuWJZjYie/p8cpIoYJbeP0VV2JYmrJJMwGQDO5RH4iQ30A==",
+      "version": "3.4.33",
+      "resolved": "https://registry.npmjs.org/@vue/server-renderer/-/server-renderer-3.4.33.tgz",
+      "integrity": "sha512-jTH0d6gQcaYideFP/k0WdEu8PpRS9MF8d0b6SfZzNi+ap972pZ0TNIeTaESwdOtdY0XPVj54XEJ6K0wXxir4fw==",
       "dev": true,
       "dependencies": {
-        "@vue/compiler-ssr": "3.4.32",
-        "@vue/shared": "3.4.32"
+        "@vue/compiler-ssr": "3.4.33",
+        "@vue/shared": "3.4.33"
       },
       "peerDependencies": {
-        "vue": "3.4.32"
+        "vue": "3.4.33"
       }
     },
     "node_modules/@vue/shared": {
-      "version": "3.4.32",
-      "resolved": "https://registry.npmjs.org/@vue/shared/-/shared-3.4.32.tgz",
-      "integrity": "sha512-ep4mF1IVnX/pYaNwxwOpJHyBtOMKWoKZMbnUyd+z0udqIxLUh7YCCd/JfDna8aUrmnG9SFORyIq2HzEATRrQsg==",
+      "version": "3.4.33",
+      "resolved": "https://registry.npmjs.org/@vue/shared/-/shared-3.4.33.tgz",
+      "integrity": "sha512-aoRY0jQk3A/cuvdkodTrM4NMfxco8n55eG4H7ML/CRy7OryHfiqvug4xrCBBMbbN+dvXAetDDwZW9DXWWjBntA==",
       "dev": true
     },
     "node_modules/@vuepress/bundler-vite": {
@@ -12503,16 +12503,16 @@
       }
     },
     "node_modules/vue": {
-      "version": "3.4.32",
-      "resolved": "https://registry.npmjs.org/vue/-/vue-3.4.32.tgz",
-      "integrity": "sha512-9mCGIAi/CAq7GtaLLLp2J92pEic+HArstG+pq6F+H7+/jB9a0Z7576n4Bh4k79/50L1cKMIhZC3MC0iGpl+1IA==",
+      "version": "3.4.33",
+      "resolved": "https://registry.npmjs.org/vue/-/vue-3.4.33.tgz",
+      "integrity": "sha512-VdMCWQOummbhctl4QFMcW6eNtXHsFyDlX60O/tsSQuCcuDOnJ1qPOhhVla65Niece7xq/P2zyZReIO5mP+LGTQ==",
       "dev": true,
       "dependencies": {
-        "@vue/compiler-dom": "3.4.32",
-        "@vue/compiler-sfc": "3.4.32",
-        "@vue/runtime-dom": "3.4.32",
-        "@vue/server-renderer": "3.4.32",
-        "@vue/shared": "3.4.32"
+        "@vue/compiler-dom": "3.4.33",
+        "@vue/compiler-sfc": "3.4.33",
+        "@vue/runtime-dom": "3.4.33",
+        "@vue/server-renderer": "3.4.33",
+        "@vue/shared": "3.4.33"
       },
       "peerDependencies": {
         "typescript": "*"
diff --git a/package.json b/package.json
index d116df5ba..1e5271628 100644
--- a/package.json
+++ b/package.json
@@ -23,7 +23,7 @@
     "mermaid": "^10.9.1",
     "reveal.js": "^5.1.0",
     "start-server-and-test": "^2.0.4",
-    "vue": "^3.4.32",
+    "vue": "^3.4.33",
     "vuepress": "2.0.0-rc.13",
     "vuepress-theme-hope": "2.0.0-rc.49"
   }