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/src/main.ts

@@ -1 +1,12 @@
-export {};
+import { createApp } from 'vue';
+import { createPinia } from 'pinia';
+import App from './App.vue';
+import router from './router';
+import './assets/main.css';
+
+const app = createApp(App);
+
+app.use(createPinia());
+app.use(router);
+
+app.mount('#app');