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/vite.config.ts

@@ -0,0 +1,17 @@
+import { defineConfig } from 'vite';
+import vue from '@vitejs/plugin-vue';
+import tailwindcss from '@tailwindcss/vite';
+import path from 'path';
+
+// https://vitejs.dev/config/
+export default defineConfig({
+    plugins: [vue(), tailwindcss()],
+    resolve: {
+        alias: {
+            '@': path.resolve(__dirname, './src'),
+        },
+    },
+    server: {
+        port: 3001,
+    },
+});