feat: Initialize QuizMaster Live project

This commit sets up the foundational structure for the QuizMaster Live application. It includes:
- Initializing a new Vite project with React and TypeScript.
- Configuring project dependencies and build tools (Vite, TypeScript).
- Defining core application types for game state, players, questions, etc.
- Setting up basic Tailwind CSS for styling and defining custom animations.
- Integrating with the Google Gemini API for AI-powered question generation.
- Configuring environment variables for API keys and defining the application's metadata.
- Adding a README with setup instructions and local development guide.

types.ts

@@ -0,0 +1,67 @@
+export enum GamePhase {
+  LOBBY = 'LOBBY',
+  COUNTDOWN = 'COUNTDOWN',
+  QUESTION_DISPLAY = 'QUESTION_DISPLAY',
+  BUZZER_OPEN = 'BUZZER_OPEN',
+  ADJUDICATION = 'ADJUDICATION',
+  ANSWER_REVEAL = 'ANSWER_REVEAL',
+  LEADERBOARD = 'LEADERBOARD',
+  FINAL_STATS = 'FINAL_STATS'
+}
+
+export interface PlayerStats {
+  correctAnswers: number;
+  totalBuzzes: number;
+  bestReactionTime: number | null; // in ms
+}
+
+export interface Player {
+  id: string;
+  name: string;
+  teamId?: string;
+  score: number;
+  isApproved: boolean;
+  buzzerTimestamp?: number; // MS timestamp of when they buzzed
+  stats: PlayerStats;
+}
+
+export interface Team {
+  id: string;
+  name: string;
+  score: number;
+}
+
+export interface Question {
+  id: string;
+  text: string;
+  answer: string;
+  points: number;
+  category?: string;
+  mediaUrl?: string;
+  mediaType?: 'image' | 'video';
+  audioUrl?: string;
+  audioStart?: number;
+  audioEnd?: number;
+}
+
+export interface Game {
+  id: string;
+  name: string;
+  description?: string;
+  createdAt: number;
+  questions: Question[];
+}
+
+export interface BuzzerLog {
+  playerId: string;
+  timestamp: number;
+  order: number;
+  status: 'PENDING' | 'CORRECT' | 'WRONG';
+}
+
+export interface GameState {
+  phase: GamePhase;
+  currentQuestionIndex: number;
+  countdownValue: number;
+  buzzerOpenTimestamp: number | null; // To calculate reaction time
+}