muaz-khan/WebRTC-Experiment ? reverse-engineered prompt

Build me a simple WebRTC demo site that ties together the most useful pieces in this repo, like video calling, screen sharing, file sharing, and recording. I want users to be able to open the app, join a room, start a video chat, share their screen, send files, and record the session without needing to install anything special. Make it feel clean and easy to use, with a basic home page, a room page, and clear buttons for things like mute, camera on or off, share screen, start or stop recording, and leave call. If it helps, use the existing demos and libraries here instead of reinventing anything, and look up current docs online if you need to. Please also include a simple signaling setup so multiple people can connect, and make sure it works well in modern browsers.