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`.

types.ts

@@ -0,0 +1,60 @@
+
+export enum GameState {
+  LOBBY = 'LOBBY',
+  COUNTDOWN = 'COUNTDOWN',
+  QUESTION = 'QUESTION',
+  BUZZED = 'BUZZED',
+  REVEAL = 'REVEAL',
+  SCOREBOARD = 'SCOREBOARD',
+  FINAL_STATS = 'FINAL_STATS'
+}
+
+export enum UserRole {
+  HOST = 'HOST',
+  PLAYER = 'PLAYER',
+  SPECTATOR = 'SPECTATOR'
+}
+
+export interface Player {
+  id: string;
+  name: string;
+  teamId: string;
+  status: 'PENDING' | 'APPROVED';
+  score: number;
+  correctAnswers: number;
+  wrongAnswers: number;
+  avgBuzzerMs: number;
+}
+
+export interface Team {
+  id: string;
+  name: string;
+  score: number;
+}
+
+export interface Question {
+  id: string;
+  text: string;
+  answer: string;
+  points: number;
+  audioUrl?: string;
+  audioStart?: number;
+  audioEnd?: number;
+}
+
+export interface BuzzerLog {
+  playerId: string;
+  timestamp: number; // ms precision
+}
+
+export interface GameData {
+  id: string;
+  name: string;
+  state: GameState;
+  currentQuestionIndex: number;
+  questions: Question[];
+  players: Player[];
+  teams: Team[];
+  activeBuzzerQueue: BuzzerLog[];
+  countdownValue: number;
+}