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/assets/main.css

@@ -0,0 +1,12 @@
+@import 'tailwindcss';
+
+@theme {
+    --color-sammo-ink: #101010;
+    --color-sammo-parchment: #e8ddc4;
+    --color-sammo-gold: #c9a45a;
+}
+
+body {
+    @apply bg-sammo-ink text-sammo-parchment;
+    font-family: 'Galmuri11', 'Noto Serif KR', 'Malgun Gothic', serif;
+}