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/lib/utils.ts

@@ -0,0 +1,6 @@
+import { clsx, type ClassValue } from "clsx";
+import { twMerge } from "tailwind-merge";
+
+export function cn(...inputs: ClassValue[]) {
+  return twMerge(clsx(inputs));
+}