feat: initialize game frontend with Vue, routing, and session management

- Add index.html as the entry point for the application.
- Create App.vue to serve as the main application component with RouterView.
- Implement global styles in main.css using Tailwind CSS.
- Set up TypeScript definitions for Vue components in env.d.ts.
- Configure Vue Router with routes for home, public, login, and not found views.
- Extend RouteMeta interface to include authentication-related metadata.
- Create a Pinia store for session management with status tracking.
- Implement TRPC client for API communication with session token handling.
- Develop views for Login, Main, Not Found, and Public with basic structure.
- Configure TypeScript for Node with tsconfig.node.json.
- Set up Vite configuration for the project with Vue and Tailwind CSS plugins.

app/game-frontend/tsconfig.node.json

@@ -0,0 +1,11 @@
+{
+    "compilerOptions": {
+        "composite": true,
+        "skipLibCheck": true,
+        "module": "ESNext",
+        "moduleResolution": "bundler",
+        "allowSyntheticDefaultImports": true,
+        "strict": true
+    },
+    "include": ["vite.config.ts"]
+}