adarshppandey937-l/baigan-pww ? reverse-engineered prompt

Build me a simple AI Studio style web app that uses my Gemini API key and runs cleanly in the browser.

I want a polished page where I can enter a prompt, send it, and see the AI response appear nicely on screen. Make it feel modern and easy to use, with a clean layout, clear loading state, and friendly error handling if the API key is missing or the request fails. It should work locally with the env file setup in the repo, and be ready to deploy on Vercel too.

Please wire up whatever frontend and server code is needed so the app actually works end to end, and keep the experience lightweight and responsive. If you need current Gemini or deployment details, look up the latest docs online and use the simplest approach that fits this project.