diff --git a/package-lock.json b/package-lock.json
index 099fe57ed..b84f0c69d 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -17,7 +17,7 @@
         "mermaid": "^10.8.0",
         "reveal.js": "^5.0.5",
         "start-server-and-test": "^2.0.3",
-        "vue": "^3.4.20",
+        "vue": "^3.4.21",
         "vuepress": "2.0.0-rc.7",
         "vuepress-theme-hope": "2.0.0-rc.24"
       }
@@ -183,9 +183,9 @@
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-      "resolved": "https://registry.npmjs.org/@babel/parser/-/parser-7.23.9.tgz",
-      "integrity": "sha512-9tcKgqKbs3xGJ+NtKF2ndOBBLVwPjl1SHxPQkd36r3Dlirw3xWUeGaTbqr7uGZcTaxkVNwc+03SVP7aCdWrTlA==",
+      "version": "7.24.0",
+      "resolved": "https://registry.npmjs.org/@babel/parser/-/parser-7.24.0.tgz",
+      "integrity": "sha512-QuP/FxEAzMSjXygs8v4N9dvdXzEHN4W1oF3PxuWAtPo08UdM17u89RDMgjLn/mlc56iM0HlLmVkO/wgR+rDgHg==",
       "dev": true,
       "bin": {
         "parser": "bin/babel-parser.js"
@@ -1847,39 +1847,39 @@
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-      "resolved": "https://registry.npmjs.org/@vue/compiler-core/-/compiler-core-3.4.20.tgz",
-      "integrity": "sha512-l7M+xUuL8hrGtRLkrf+62d9zucAdgqNBTbJ/NufCOIuJQhauhfyAKH9ra/qUctCXcULwmclGAVpvmxjbBO30qg==",
+      "version": "3.4.21",
+      "resolved": "https://registry.npmjs.org/@vue/compiler-core/-/compiler-core-3.4.21.tgz",
+      "integrity": "sha512-MjXawxZf2SbZszLPYxaFCjxfibYrzr3eYbKxwpLR9EQN+oaziSu3qKVbwBERj1IFIB8OLUewxB5m/BFzi613og==",
       "dev": true,
       "dependencies": {
         "@babel/parser": "^7.23.9",
-        "@vue/shared": "3.4.20",
+        "@vue/shared": "3.4.21",
         "entities": "^4.5.0",
         "estree-walker": "^2.0.2",
         "source-map-js": "^1.0.2"
       }
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     "node_modules/@vue/compiler-dom": {
-      "version": "3.4.20",
-      "resolved": "https://registry.npmjs.org/@vue/compiler-dom/-/compiler-dom-3.4.20.tgz",
-      "integrity": "sha512-/cSBGL79HFBYgDnqCNKErOav3bPde3n0sJwJM2Z09rXlkiowV/2SG1tgDAiWS1CatS4Cvo0o74e1vNeCK1R3RA==",
+      "version": "3.4.21",
+      "resolved": "https://registry.npmjs.org/@vue/compiler-dom/-/compiler-dom-3.4.21.tgz",
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       "dev": true,
       "dependencies": {
-        "@vue/compiler-core": "3.4.20",
-        "@vue/shared": "3.4.20"
+        "@vue/compiler-core": "3.4.21",
+        "@vue/shared": "3.4.21"
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     "node_modules/@vue/compiler-sfc": {
-      "version": "3.4.20",
-      "resolved": "https://registry.npmjs.org/@vue/compiler-sfc/-/compiler-sfc-3.4.20.tgz",
-      "integrity": "sha512-nPuTZz0yxTPzjyYe+9nQQsFYImcz/57UX8N3jyhl5oIUUs2jqqAMaULsAlJwve3qNYfjQzq0bwy3pqJrN9ecZw==",
+      "version": "3.4.21",
+      "resolved": "https://registry.npmjs.org/@vue/compiler-sfc/-/compiler-sfc-3.4.21.tgz",
+      "integrity": "sha512-me7epoTxYlY+2CUM7hy9PCDdpMPfIwrOvAXud2Upk10g4YLv9UBW7kL798TvMeDhPthkZ0CONNrK2GoeI1ODiQ==",
       "dev": true,
       "dependencies": {
         "@babel/parser": "^7.23.9",
-        "@vue/compiler-core": "3.4.20",
-        "@vue/compiler-dom": "3.4.20",
-        "@vue/compiler-ssr": "3.4.20",
-        "@vue/shared": "3.4.20",
+        "@vue/compiler-core": "3.4.21",
+        "@vue/compiler-dom": "3.4.21",
+        "@vue/compiler-ssr": "3.4.21",
+        "@vue/shared": "3.4.21",
         "estree-walker": "^2.0.2",
         "magic-string": "^0.30.7",
         "postcss": "^8.4.35",
@@ -1887,13 +1887,13 @@
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     "node_modules/@vue/compiler-ssr": {
-      "version": "3.4.20",
-      "resolved": "https://registry.npmjs.org/@vue/compiler-ssr/-/compiler-ssr-3.4.20.tgz",
-      "integrity": "sha512-b3gFQPiHLvI12C56otzBPpQhZ5kgkJ5RMv/zpLjLC2BIFwX5GktDqYQ7xg0Q2grP6uFI8al3beVKvAVxFtXmIg==",
+      "version": "3.4.21",
+      "resolved": "https://registry.npmjs.org/@vue/compiler-ssr/-/compiler-ssr-3.4.21.tgz",
+      "integrity": "sha512-M5+9nI2lPpAsgXOGQobnIueVqc9sisBFexh5yMIMRAPYLa7+5wEJs8iqOZc1WAa9WQbx9GR2twgznU8LTIiZ4Q==",
       "dev": true,
       "dependencies": {
-        "@vue/compiler-dom": "3.4.20",
-        "@vue/shared": "3.4.20"
+        "@vue/compiler-dom": "3.4.21",
+        "@vue/shared": "3.4.21"
       }
     },
     "node_modules/@vue/devtools-api": {
@@ -1903,52 +1903,52 @@
       "dev": true
     },
     "node_modules/@vue/reactivity": {
-      "version": "3.4.20",
-      "resolved": "https://registry.npmjs.org/@vue/reactivity/-/reactivity-3.4.20.tgz",
-      "integrity": "sha512-P5LJcxUkG6inlHr6MHVA4AVFAmRYJQ7ONGWJILNjMjoYuEXFhYviSCb9BEMyszSG/1kWCZbtWQlKSLasFRpThw==",
+      "version": "3.4.21",
+      "resolved": "https://registry.npmjs.org/@vue/reactivity/-/reactivity-3.4.21.tgz",
+      "integrity": "sha512-UhenImdc0L0/4ahGCyEzc/pZNwVgcglGy9HVzJ1Bq2Mm9qXOpP8RyNTjookw/gOCUlXSEtuZ2fUg5nrHcoqJcw==",
       "dev": true,
       "dependencies": {
-        "@vue/shared": "3.4.20"
+        "@vue/shared": "3.4.21"
       }
     },
     "node_modules/@vue/runtime-core": {
-      "version": "3.4.20",
-      "resolved": "https://registry.npmjs.org/@vue/runtime-core/-/runtime-core-3.4.20.tgz",
-      "integrity": "sha512-MPvsQpGAxoBqLHjqopt4YPtUYBpq0K6oAWDTwIR1CTNZ3y9O/J2ZVh+i2JpxKNYwANJBiZ20O99NE20uisB7xw==",
+      "version": "3.4.21",
+      "resolved": "https://registry.npmjs.org/@vue/runtime-core/-/runtime-core-3.4.21.tgz",
+      "integrity": "sha512-pQthsuYzE1XcGZznTKn73G0s14eCJcjaLvp3/DKeYWoFacD9glJoqlNBxt3W2c5S40t6CCcpPf+jG01N3ULyrA==",
       "dev": true,
       "dependencies": {
-        "@vue/reactivity": "3.4.20",
-        "@vue/shared": "3.4.20"
+        "@vue/reactivity": "3.4.21",
+        "@vue/shared": "3.4.21"
       }
     },
     "node_modules/@vue/runtime-dom": {
-      "version": "3.4.20",
-      "resolved": "https://registry.npmjs.org/@vue/runtime-dom/-/runtime-dom-3.4.20.tgz",
-      "integrity": "sha512-OkbPVP69H+8m74543zMAAx/LIkajxufYyow41gc0s5iF0uplT5uTQ4llDYu1GeJZEI8wjL5ueiPQruk4qwOMmA==",
+      "version": "3.4.21",
+      "resolved": "https://registry.npmjs.org/@vue/runtime-dom/-/runtime-dom-3.4.21.tgz",
+      "integrity": "sha512-gvf+C9cFpevsQxbkRBS1NpU8CqxKw0ebqMvLwcGQrNpx6gqRDodqKqA+A2VZZpQ9RpK2f9yfg8VbW/EpdFUOJw==",
       "dev": true,
       "dependencies": {
-        "@vue/runtime-core": "3.4.20",
-        "@vue/shared": "3.4.20",
+        "@vue/runtime-core": "3.4.21",
+        "@vue/shared": "3.4.21",
         "csstype": "^3.1.3"
       }
     },
     "node_modules/@vue/server-renderer": {
-      "version": "3.4.20",
-      "resolved": "https://registry.npmjs.org/@vue/server-renderer/-/server-renderer-3.4.20.tgz",
-      "integrity": "sha512-w3VH2GuwxQHA6pJo/HCV22OfVC8Mw4oeHQM+vKeqtRK0OPE1Wilnh+P/SDVGGxPjJsGmyfphi0dbw8UKZQJH9w==",
+      "version": "3.4.21",
+      "resolved": "https://registry.npmjs.org/@vue/server-renderer/-/server-renderer-3.4.21.tgz",
+      "integrity": "sha512-aV1gXyKSN6Rz+6kZ6kr5+Ll14YzmIbeuWe7ryJl5muJ4uwSwY/aStXTixx76TwkZFJLm1aAlA/HSWEJ4EyiMkg==",
       "dev": true,
       "dependencies": {
-        "@vue/compiler-ssr": "3.4.20",
-        "@vue/shared": "3.4.20"
+        "@vue/compiler-ssr": "3.4.21",
+        "@vue/shared": "3.4.21"
       },
       "peerDependencies": {
-        "vue": "3.4.20"
+        "vue": "3.4.21"
       }
     },
     "node_modules/@vue/shared": {
-      "version": "3.4.20",
-      "resolved": "https://registry.npmjs.org/@vue/shared/-/shared-3.4.20.tgz",
-      "integrity": "sha512-KTEngal0aiUvNJ6I1Chk5Ew5XqChsFsxP4GKAYXWb99zKJWjNU72p2FWEOmZWHxHcqtniOJsgnpd3zizdpfEag==",
+      "version": "3.4.21",
+      "resolved": "https://registry.npmjs.org/@vue/shared/-/shared-3.4.21.tgz",
+      "integrity": "sha512-PuJe7vDIi6VYSinuEbUIQgMIRZGgM8e4R+G+/dQTk0X1NEdvgvvgv7m+rfmDH1gZzyA1OjjoWskvHlfRNfQf3g==",
       "dev": true
     },
     "node_modules/@vuepress/bundler-vite": {
@@ -10463,16 +10463,16 @@
       }
     },
     "node_modules/vue": {
-      "version": "3.4.20",
-      "resolved": "https://registry.npmjs.org/vue/-/vue-3.4.20.tgz",
-      "integrity": "sha512-xF4zDKXp67NjgORFX/HOuaiaKYjgxkaToK0KWglFQEYlCw9AqgBlj1yu5xa6YaRek47w2IGiuvpvrGg/XuQFCw==",
+      "version": "3.4.21",
+      "resolved": "https://registry.npmjs.org/vue/-/vue-3.4.21.tgz",
+      "integrity": "sha512-5hjyV/jLEIKD/jYl4cavMcnzKwjMKohureP8ejn3hhEjwhWIhWeuzL2kJAjzl/WyVsgPY56Sy4Z40C3lVshxXA==",
       "dev": true,
       "dependencies": {
-        "@vue/compiler-dom": "3.4.20",
-        "@vue/compiler-sfc": "3.4.20",
-        "@vue/runtime-dom": "3.4.20",
-        "@vue/server-renderer": "3.4.20",
-        "@vue/shared": "3.4.20"
+        "@vue/compiler-dom": "3.4.21",
+        "@vue/compiler-sfc": "3.4.21",
+        "@vue/runtime-dom": "3.4.21",
+        "@vue/server-renderer": "3.4.21",
+        "@vue/shared": "3.4.21"
       },
       "peerDependencies": {
         "typescript": "*"
diff --git a/package.json b/package.json
index ab1d5045d..a70181b05 100644
--- a/package.json
+++ b/package.json
@@ -23,7 +23,7 @@
     "mermaid": "^10.8.0",
     "reveal.js": "^5.0.5",
     "start-server-and-test": "^2.0.3",
-    "vue": "^3.4.20",
+    "vue": "^3.4.21",
     "vuepress": "2.0.0-rc.7",
     "vuepress-theme-hope": "2.0.0-rc.24"
   }