abedassi2001/LetAICook — reverse-engineered prompt

Build me an AI powered team coordination app called letAIcook.

I want users to sign in, start on a planning chat page, talk through a project idea with Gemini, then send that planning summary into a system designer page. The designer should turn the project description into useful structured output like diagrams, a service map, APIs, schema ideas, a React Flow style graph, and exports.

Also build a task board backed by Firebase where admins can create, publish, and assign tasks, and workers can see only their assigned work and update the status. Store tasks, user profiles, and system designer workspaces in Firebase Auth and Firestore. Keep the planning chat history in the browser for now and use it to prefill the designer.

Use a Next.js web app with a FastAPI backend for the AI calls. The Gemini key must stay server side. Include local setup with Docker, Firebase env samples, basic security rules, and enough tests or checks so it’s safe to work on as a team. Look up current docs online if needed.