baranidharan-sys/admigo ? reverse-engineered prompt

Build me a simple AI Studio web app that runs locally and uses my Gemini API key from a .env file.

I want it to have a clean landing page, a place for the user to enter a prompt, and a way to send that prompt to Gemini and show the response on screen. Make it feel polished and easy to use, with a good loading state and basic error handling if the API key is missing or the request fails.

Please wire it up so I can install dependencies, add my GEMINI_API_KEY, and run it locally without extra setup. If anything about the current AI Studio docs or Gemini setup has changed, look up the current docs online and follow the recommended approach.

Keep the design simple and modern, and make sure the app is ready to open in the browser and work as a small demo people can try right away.