diff --git a/examples/server/webui/package-lock.json b/examples/server/webui/package-lock.json
index bbebccbf20c64..1eec44c34e6eb 100644
--- a/examples/server/webui/package-lock.json
+++ b/examples/server/webui/package-lock.json
@@ -13,7 +13,7 @@
         "autoprefixer": "^10.4.20",
         "daisyui": "^4.12.14",
         "highlight.js": "^11.10.0",
-        "katex": "^0.16.15",
+        "katex": "^0.16.21",
         "markdown-it": "^14.1.0",
         "postcss": "^8.4.49",
         "tailwindcss": "^3.4.15",
@@ -23,7 +23,7 @@
       },
       "devDependencies": {
         "sass-embedded": "^1.83.0",
-        "vite": "^5.4.10"
+        "vite": "^5.4.14"
       }
     },
     "node_modules/@alloc/quick-lru": {
@@ -1579,9 +1579,9 @@
       }
     },
     "node_modules/katex": {
-      "version": "0.16.15",
-      "resolved": "https://registry.npmjs.org/katex/-/katex-0.16.15.tgz",
-      "integrity": "sha512-yE9YJIEAk2aZ+FL/G8r+UGw0CTUzEA8ZFy6E+8tc3spHUKq3qBnzCkI1CQwGoI9atJhVyFPEypQsTY7mJ1Pi9w==",
+      "version": "0.16.21",
+      "resolved": "https://registry.npmjs.org/katex/-/katex-0.16.21.tgz",
+      "integrity": "sha512-XvqR7FgOHtWupfMiigNzmh+MgUVmDGU2kXZm899ZkPfcuoPuFxyHmXsgATDpFZDAXCI8tvinaVcDo8PIIJSo4A==",
       "funding": [
         "https://opencollective.com/katex",
         "https://github.com/sponsors/katex"
@@ -3210,9 +3210,9 @@
       "license": "MIT"
     },
     "node_modules/vite": {
-      "version": "5.4.11",
-      "resolved": "https://registry.npmjs.org/vite/-/vite-5.4.11.tgz",
-      "integrity": "sha512-c7jFQRklXua0mTzneGW9QVyxFjUgwcihC4bXEtujIo2ouWCe1Ajt/amn2PCxYnhYfd5k09JX3SB7OYWFKYqj8Q==",
+      "version": "5.4.14",
+      "resolved": "https://registry.npmjs.org/vite/-/vite-5.4.14.tgz",
+      "integrity": "sha512-EK5cY7Q1D8JNhSaPKVK4pwBFvaTmZxEnoKXLG/U9gmdDcihQGNzFlgIvaxezFR4glP1LsuiedwMBqCXH3wZccA==",
       "license": "MIT",
       "dependencies": {
         "esbuild": "^0.21.3",
diff --git a/examples/server/webui/package.json b/examples/server/webui/package.json
index 2836cce00d41d..7eaa9951c28e1 100644
--- a/examples/server/webui/package.json
+++ b/examples/server/webui/package.json
@@ -11,7 +11,7 @@
   },
   "devDependencies": {
     "sass-embedded": "^1.83.0",
-    "vite": "^5.4.10"
+    "vite": "^5.4.14"
   },
   "dependencies": {
     "@sec-ant/readable-stream": "^0.6.0",
@@ -19,7 +19,7 @@
     "autoprefixer": "^10.4.20",
     "daisyui": "^4.12.14",
     "highlight.js": "^11.10.0",
-    "katex": "^0.16.15",
+    "katex": "^0.16.21",
     "markdown-it": "^14.1.0",
     "postcss": "^8.4.49",
     "tailwindcss": "^3.4.15",