Real-Ibrahim/sendwhich ? reverse-engineered prompt

Build me a web app called SendWhich for private rooms where people can sign up, create a room with a password, invite others, chat live, and share files directly between each other without uploading them to a server.

I want a clean modern landing page, a dashboard showing my rooms and room activity, a profile page where I can update my username, and a room page where I can see chat, participants, and file sharing status. The app should use Supabase for login, room data, chat messages, and realtime updates, and it should be set up so files are only transferred peer to peer with WebRTC, with no permanent file storage on the backend.

Make sure the app feels polished and secure, with room access control, deleted or expired room handling, and a nice animated UI. If anything needs current setup details, look up the latest docs online.