feat: add user accounts, authentication, and game history with Prisma 7

- Implement user registration and login with NextAuth v5 (email/password, JWT)
- Add authentication modal in UI with login/register tabs
- Create user profile screen showing game statistics and history
- Integrate Prisma 7 ORM with SQLite database for data persistence
- Store game results (mode, path, clicks, time) in database
- Auto-save completed games only when user is authenticated
- Separate business logic into reusable hooks (useSoloGame, useMultiGame)
- Organize UI into composable screen components (HomeScreen, SoloScreen, ProfileScreen, etc)
- Add session persistence across F5 refresh for solo and multiplayer
- Style auth modal, account button, and profile stats dashboard

package.json

@@ -6,20 +6,29 @@
     "dev": "next dev",
     "build": "next build",
     "start": "next start",
-    "lint": "eslint"
+    "lint": "eslint",
+    "postinstall": "npx node-gyp rebuild --directory node_modules/.pnpm/better-sqlite3@12.8.0/node_modules/better-sqlite3 2>/dev/null || true"
   },
   "dependencies": {
+    "@prisma/client": "^7.7.0",
+    "bcryptjs": "^3.0.3",
     "next": "16.2.3",
+    "next-auth": "5.0.0-beta.30",
     "react": "19.2.4",
     "react-dom": "19.2.4"
   },
   "devDependencies": {
+    "@prisma/adapter-better-sqlite3": "^7.7.0",
     "@tailwindcss/postcss": "^4",
+    "@types/bcryptjs": "^3.0.0",
+    "@types/better-sqlite3": "^7.6.13",
     "@types/node": "^20",
     "@types/react": "^19",
     "@types/react-dom": "^19",
+    "better-sqlite3": "12",
     "eslint": "^9",
     "eslint-config-next": "16.2.3",
+    "prisma": "7",
     "tailwindcss": "^4",
     "typescript": "^5"
   }