chore: update dependencies and add AuthProvider component

- Updated dependencies in package.json:
  - Incremented versions for @kevisual/api, @kevisual/context, @kevisual/router, @tanstack/react-router, @kevisual/query, @tailwindcss/vite, @tanstack/react-router-devtools, @tanstack/router-plugin, @types/node, tailwind-merge, and tailwindcss.
  - Added fuse.js as a new dependency.

- Refactored __root.tsx to include AuthProvider for authentication context.
- Created a new AuthProvider component in src/pages/auth/index.tsx.

package.json

@@ -18,16 +18,17 @@
   "license": "MIT",
   "dependencies": {
     "@base-ui/react": "^1.2.0",
-    "@kevisual/api": "^0.0.51",
-    "@kevisual/context": "^0.0.6",
-    "@kevisual/router": "0.0.75",
-    "@tanstack/react-router": "^1.160.2",
+    "@kevisual/api": "^0.0.52",
+    "@kevisual/context": "^0.0.8",
+    "@kevisual/router": "0.0.80",
+    "@tanstack/react-router": "^1.161.1",
     "class-variance-authority": "^0.7.1",
     "clsx": "^2.1.1",
     "cmdk": "^1.1.1",
     "dayjs": "^1.11.19",
     "es-toolkit": "^1.44.0",
-    "lucide-react": "^0.574.0",
+    "fuse.js": "^7.1.0",
+    "lucide-react": "^0.575.0",
     "nanoid": "^5.1.6",
     "next-themes": "^0.4.6",
     "react": "^19.2.4",
@@ -40,18 +41,18 @@
     "access": "public"
   },
   "devDependencies": {
-    "@kevisual/query": "0.0.47",
+    "@kevisual/query": "0.0.49",
     "@kevisual/types": "^0.0.12",
-    "@tailwindcss/vite": "^4.1.18",
-    "@tanstack/react-router-devtools": "^1.160.2",
-    "@tanstack/router-plugin": "^1.160.2",
-    "@types/node": "^25.2.3",
+    "@tailwindcss/vite": "^4.2.0",
+    "@tanstack/react-router-devtools": "^1.161.1",
+    "@tanstack/router-plugin": "^1.161.1",
+    "@types/node": "^25.3.0",
     "@types/react": "^19.2.14",
     "@types/react-dom": "^19.2.3",
     "@vitejs/plugin-react": "^5.1.4",
     "dotenv": "^17.3.1",
-    "tailwind-merge": "^3.4.1",
-    "tailwindcss": "^4.1.18",
+    "tailwind-merge": "^3.5.0",
+    "tailwindcss": "^4.2.0",
     "tw-animate-css": "^1.4.0",
     "typescript": "^5.9.3",
     "vite": "v8.0.0-beta.14"