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.

.gitignore

@@ -0,0 +1,24 @@
+# Logs
+logs
+*.log
+npm-debug.log*
+yarn-debug.log*
+yarn-error.log*
+pnpm-debug.log*
+lerna-debug.log*
+
+node_modules
+dist
+dist-ssr
+*.local
+
+# Editor directories and files
+.vscode/*
+!.vscode/extensions.json
+.idea
+.DS_Store
+*.suo
+*.ntvs*
+*.njsproj
+*.sln
+*.sw?