vennammythrireddy/study-room ? reverse-engineered prompt

Build me a real time study room app where people can create a room, share a room code, and join from another tab or device. Once inside, everyone should see the same shared notes editor, a live list of who is currently in the room, and a simple chat area that updates instantly for everyone.

I want the experience to feel smooth and lightweight, with the notes staying synced as people type and new users seeing the current room state right away when they join. Use a React frontend and a Node server with Socket.io so the room updates happen live without refreshing. Keep it simple for now, no database needed, just make it work well in memory. If you need to check current docs online for any setup details, go ahead and do that.