feat: Initialize BuzzMaster project structure

Sets up the foundational project structure for the BuzzMaster Live Quiz Platform. This includes:

- **Project Initialization:** Creates `package.json` with necessary dependencies (React, React Router DOM, Vite, TypeScript).
- **Vite Configuration:** Configures Vite for development and building, including server settings and environment variable handling.
- **HTML Entry Point:** Sets up `index.html` with basic structure, Tailwind CSS, Google Fonts, and ESM import maps.
- **React Entry Point:** Configures `index.tsx` to render the main `App` component.
- **TypeScript Configuration:** Defines `tsconfig.json` for the project.
- **Git Ignore:** Adds standard files and directories to `.gitignore`.
- **README and Metadata:** Includes a basic `README.md` and `metadata.json` describing the project.
- **Type Definitions:** Establishes core type definitions in `types.ts` for game state, user roles, players, teams, and questions.
- **App Component:** Creates a basic `App.tsx` component with routing and initial game state management, including logic for local storage fallback and API sync.
- **Component Stubs:** Adds placeholder components for `PlayerView`, `AdminDashboard`, and `SpectatorView`.

vite.config.ts

@@ -0,0 +1,23 @@
+import path from 'path';
+import { defineConfig, loadEnv } from 'vite';
+import react from '@vitejs/plugin-react';
+
+export default defineConfig(({ mode }) => {
+    const env = loadEnv(mode, '.', '');
+    return {
+      server: {
+        port: 3000,
+        host: '0.0.0.0',
+      },
+      plugins: [react()],
+      define: {
+        'process.env.API_KEY': JSON.stringify(env.GEMINI_API_KEY),
+        'process.env.GEMINI_API_KEY': JSON.stringify(env.GEMINI_API_KEY)
+      },
+      resolve: {
+        alias: {
+          '@': path.resolve(__dirname, '.'),
+        }
+      }
+    };
+});