feat: Initialize AI Studio project structure

Sets up a new project for an AI Studio application. Includes essential files like `package.json`, `vite.config.ts`, `tsconfig.json`, and a basic React application structure (`App.tsx`, `main.tsx`, `index.html`, `index.css`).

Also adds a `README.md` with instructions for running locally, an `.env.example` for API key configuration, and a `.gitignore` to manage project dependencies and build artifacts.

src/main.tsx

@@ -0,0 +1,10 @@
+import {StrictMode} from 'react';
+import {createRoot} from 'react-dom/client';
+import App from './App.tsx';
+import './index.css';
+
+createRoot(document.getElementById('root')!).render(
+  <StrictMode>
+    <App />
+  </StrictMode>,
+);