diff --git a/apps/web/package-lock.json b/apps/web/package-lock.json
index 61fb4e424..3abde9a11 100644
--- a/apps/web/package-lock.json
+++ b/apps/web/package-lock.json
@@ -19,18 +19,18 @@
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         "fumadocs-ui": "^16.10.5",
         "lucide-react": "^1.14.0",
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-        "@types/react": "19.2.17",
-        "@types/react-dom": "19.2.3",
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@@ -53,9 +53,9 @@
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@@ -69,20 +69,20 @@
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-        "@biomejs/cli-win32-arm64": "2.5.5",
-        "@biomejs/cli-win32-x64": "2.5.5"
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@@ -97,9 +97,9 @@
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@@ -114,9 +114,9 @@
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@@ -134,9 +134,9 @@
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@@ -154,9 +154,9 @@
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@@ -174,9 +174,9 @@
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@@ -194,9 +194,9 @@
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@@ -211,9 +211,9 @@
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@@ -1357,15 +1357,15 @@
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@@ -1379,9 +1379,9 @@
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@@ -1395,9 +1395,9 @@
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@@ -1414,9 +1414,9 @@
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@@ -1433,9 +1433,9 @@
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@@ -1452,9 +1452,9 @@
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@@ -1471,9 +1471,9 @@
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@@ -1487,9 +1487,9 @@
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@@ -1555,12 +1546,12 @@
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+      "resolved": "https://registry.npmjs.org/motion-dom/-/motion-dom-12.43.0.tgz",
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@@ -5688,12 +5698,12 @@
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-      "resolved": "https://registry.npmjs.org/next/-/next-16.2.11.tgz",
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+      "version": "16.2.12",
+      "resolved": "https://registry.npmjs.org/next/-/next-16.2.12.tgz",
+      "integrity": "sha512-iD59eYQWmbFcEbX7v/acG5DRym9iw1DdaPoD0WTA920naWsE25wShzJW4+UvAs8MK9EC2kBfIH6vtto1H1PHGw==",
       "license": "MIT",
       "dependencies": {
-        "@next/env": "16.2.11",
+        "@next/env": "16.2.12",
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         "baseline-browser-mapping": "^2.9.19",
         "caniuse-lite": "^1.0.30001579",
@@ -5707,14 +5717,14 @@
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-        "@next/swc-darwin-x64": "16.2.11",
-        "@next/swc-linux-arm64-gnu": "16.2.11",
-        "@next/swc-linux-arm64-musl": "16.2.11",
-        "@next/swc-linux-x64-gnu": "16.2.11",
-        "@next/swc-linux-x64-musl": "16.2.11",
-        "@next/swc-win32-arm64-msvc": "16.2.11",
-        "@next/swc-win32-x64-msvc": "16.2.11",
+        "@next/swc-darwin-arm64": "16.2.12",
+        "@next/swc-darwin-x64": "16.2.12",
+        "@next/swc-linux-arm64-gnu": "16.2.12",
+        "@next/swc-linux-arm64-musl": "16.2.12",
+        "@next/swc-linux-x64-gnu": "16.2.12",
+        "@next/swc-linux-x64-musl": "16.2.12",
+        "@next/swc-win32-arm64-msvc": "16.2.12",
+        "@next/swc-win32-x64-msvc": "16.2.12",
         "sharp": "^0.34.5"
       },
       "peerDependencies": {
@@ -5751,9 +5761,9 @@
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     "node_modules/npm-to-yarn": {
-      "version": "3.1.0",
-      "resolved": "https://registry.npmjs.org/npm-to-yarn/-/npm-to-yarn-3.1.0.tgz",
-      "integrity": "sha512-9gNsO/JB3LeWOZXBX09cKMsCPwVcu1ExIf+GUuTN9G+0zZvLIK0nU9+lE9jue3MSKAxPdrh0rO072mWNvciqeQ==",
+      "version": "3.2.0",
+      "resolved": "https://registry.npmjs.org/npm-to-yarn/-/npm-to-yarn-3.2.0.tgz",
+      "integrity": "sha512-K1HmQeZT2HrjpsR6KgqbN2FAXL2NrJJmNUSD9ck7HGTVu1JKXox8n9SB+tjbU8m8JGLF4OscrroPepew/L7/Xw==",
       "license": "MIT",
       "engines": {
         "node": "^12.22.0 || ^14.17.0 || >=16.0.0"
@@ -5835,9 +5845,9 @@
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     "node_modules/postcss": {
-      "version": "8.5.23",
-      "resolved": "https://registry.npmjs.org/postcss/-/postcss-8.5.23.tgz",
-      "integrity": "sha512-g50586zr4bZmwFiTlflMu8E0bDTb5I5gertgwAKmsdUlTQIhZtunzUlD1WSzwcVWPoAVpsrA6vlfCD7oXvRwgg==",
+      "version": "8.5.25",
+      "resolved": "https://registry.npmjs.org/postcss/-/postcss-8.5.25.tgz",
+      "integrity": "sha512-DTPx3RWSSnWyzLxQnlH0rJP+EW5ekl16ZU4/psbIhA0e53kJfdgaN5vKM+xP7yJtXVu+nfdVFmlgFDEKAe4Pyw==",
       "funding": [
         {
           "type": "opencollective",
@@ -6711,42 +6721,45 @@
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     "node_modules/yuku-analyzer": {
-      "version": "0.6.12",
-      "resolved": "https://registry.npmjs.org/yuku-analyzer/-/yuku-analyzer-0.6.12.tgz",
-      "integrity": "sha512-0zu/gwv6nKA3wm2GMjM1iczw9rbt77ijEyR5tXpPQ8AZcXIpXlll66BXOtMHgYudLn91bJx0ybhpARoJWm5/dw==",
+      "version": "0.8.1",
+      "resolved": "https://registry.npmjs.org/yuku-analyzer/-/yuku-analyzer-0.8.1.tgz",
+      "integrity": "sha512-pe8fmP1Fv0MJh+3+i0EXWzdD2isTzUwJVQc0vmL6mTIcWypo+l0zRiNzwDruO2uZ38kvJ7/CQMhBm5hLuaYWkw==",
       "license": "MIT",
       "dependencies": {
-        "@yuku-toolchain/types": "0.6.11",
-        "yuku-ast": "0.6.11"
+        "@yuku-toolchain/types": "^0.8.1",
+        "yuku-ast": "^0.8.1"
       },
       "optionalDependencies": {
-        "@yuku-analyzer/binding-darwin-arm64": "0.6.12",
-        "@yuku-analyzer/binding-darwin-x64": "0.6.12",
-        "@yuku-analyzer/binding-freebsd-x64": "0.6.12",
-        "@yuku-analyzer/binding-linux-arm-gnu": "0.6.12",
-        "@yuku-analyzer/binding-linux-arm-musl": "0.6.12",
-        "@yuku-analyzer/binding-linux-arm64-gnu": "0.6.12",
-        "@yuku-analyzer/binding-linux-arm64-musl": "0.6.12",
-        "@yuku-analyzer/binding-linux-x64-gnu": "0.6.12",
-        "@yuku-analyzer/binding-linux-x64-musl": "0.6.12",
-        "@yuku-analyzer/binding-win32-arm64": "0.6.12",
-        "@yuku-analyzer/binding-win32-x64": "0.6.12"
+        "@yuku-analyzer/binding-darwin-arm64": "0.8.1",
+        "@yuku-analyzer/binding-darwin-x64": "0.8.1",
+        "@yuku-analyzer/binding-freebsd-x64": "0.8.1",
+        "@yuku-analyzer/binding-linux-arm-gnu": "0.8.1",
+        "@yuku-analyzer/binding-linux-arm-musl": "0.8.1",
+        "@yuku-analyzer/binding-linux-arm64-gnu": "0.8.1",
+        "@yuku-analyzer/binding-linux-arm64-musl": "0.8.1",
+        "@yuku-analyzer/binding-linux-x64-gnu": "0.8.1",
+        "@yuku-analyzer/binding-linux-x64-musl": "0.8.1",
+        "@yuku-analyzer/binding-win32-arm64": "0.8.1",
+        "@yuku-analyzer/binding-win32-x64": "0.8.1"
       }
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     "node_modules/yuku-ast": {
-      "version": "0.6.11",
-      "resolved": "https://registry.npmjs.org/yuku-ast/-/yuku-ast-0.6.11.tgz",
-      "integrity": "sha512-ZfXkFYVsDewS45+kv3WiA/qNB73CRfxFDEQwfnRMUAR4AD5zRI7PRqxmI2U3Jz/oG41GneTVW6mxDOQal0lgeA==",
+      "version": "0.8.1",
+      "resolved": "https://registry.npmjs.org/yuku-ast/-/yuku-ast-0.8.1.tgz",
+      "integrity": "sha512-+k1E2f08y0k1+vpdD1KUCzDh2JXvwirMa8YR2Jr7VCS4zAo3eT5A/HbJCqaVGd6idaPY0gwLM9C4seEY4h10Hw==",
       "license": "MIT",
       "dependencies": {
-        "@yuku-toolchain/types": "0.6.8"
+        "@yuku-toolchain/types": "^0.8.1"
       }
     },
-    "node_modules/yuku-ast/node_modules/@yuku-toolchain/types": {
-      "version": "0.6.8",
-      "resolved": "https://registry.npmjs.org/@yuku-toolchain/types/-/types-0.6.8.tgz",
-      "integrity": "sha512-AbUd1775RVkOxJkh8hkldIWoU6kRMTCsZFSZq8Ny53q7GkbaVe5UCfleNZ3RWCoz/ZKE8qwfeB7Cj0xqhLWsKA==",
-      "license": "MIT"
+    "node_modules/zbsearch": {
+      "version": "3.3.4",
+      "resolved": "https://registry.npmjs.org/zbsearch/-/zbsearch-3.3.4.tgz",
+      "integrity": "sha512-xGsv9rIwrili/fpLpVwmnCovEcvaAJg1ey+3Ur0+m3x1mnGoVO71iAwn4op420QLGNsQJNmScZjFq5TQ+cRi/g==",
+      "license": "Apache-2.0",
+      "engines": {
+        "node": ">= 20.0.0"
+      }
     },
     "node_modules/zod": {
       "version": "4.4.3",
diff --git a/apps/web/package.json b/apps/web/package.json
index 5171bf4f3..c8fbdc3af 100644
--- a/apps/web/package.json
+++ b/apps/web/package.json
@@ -33,28 +33,28 @@
     "fumadocs-mdx": "^15.0.12",
     "fumadocs-ui": "^16.10.5",
     "lucide-react": "^1.14.0",
-    "next": "16.2.11",
+    "next": "16.2.12",
     "react": "19.2.8",
     "react-dom": "19.2.8",
     "remark-custom-heading-id": "^2.0.0",
     "tailwind-merge": "^3.6.0"
   },
   "devDependencies": {
-    "@biomejs/biome": "2.5.5",
+    "@biomejs/biome": "2.5.6",
     "@tailwindcss/postcss": "4.3.3",
     "@types/node": "25.9.5",
-    "@types/react": "19.2.17",
-    "@types/react-dom": "19.2.3",
+    "@types/react": "19.2.18",
+    "@types/react-dom": "19.2.4",
     "lefthook": "2.1.10",
     "tailwindcss": "4.3.3",
     "typescript": "6.0.3"
   },
   "overrides": {
-    "postcss": "8.5.23",
+    "postcss": "8.5.25",
     "esbuild": "0.28.1",
-    "js-yaml": "4.3.0",
+    "js-yaml": "4.3.1",
     "sharp": "0.35.3",
-    "@types/react": "19.2.17",
-    "@types/react-dom": "19.2.3"
+    "@types/react": "19.2.18",
+    "@types/react-dom": "19.2.4"
   }
 }