feat: integrate NextAuth.js for authentication, update database service to use better-sqlite3 adapter, and enhance header component with user session management

package.json

@@ -3,7 +3,11 @@
   "version": "0.1.0",
   "private": true,
   "pnpm": {
-    "onlyBuiltDependencies": ["prisma", "@prisma/engines"]
+    "onlyBuiltDependencies": [
+      "prisma",
+      "@prisma/engines",
+      "better-sqlite3"
+    ]
   },
   "scripts": {
     "dev": "next dev",
@@ -12,14 +16,19 @@
     "lint": "eslint"
   },
   "dependencies": {
+    "@prisma/adapter-better-sqlite3": "^7.0.1",
     "@prisma/client": "^7.0.1",
+    "bcryptjs": "^3.0.3",
+    "better-sqlite3": "^12.4.6",
     "next": "16.0.5",
+    "next-auth": "5.0.0-beta.30",
     "prisma": "^7.0.1",
     "react": "19.2.0",
     "react-dom": "19.2.0"
   },
   "devDependencies": {
     "@tailwindcss/postcss": "^4",
+    "@types/bcryptjs": "^3.0.0",
     "@types/node": "^20",
     "@types/react": "^19",
     "@types/react-dom": "^19",