dabit3/react-p2p-messaging ? reverse-engineered prompt

Build me a simple real time peer to peer chat app with React and Gun.js.

I want people to be able to open the app, pick a name, and start sending messages that show up instantly for everyone else connected. Keep it clean and easy to use, with a basic chat screen, a message list, and a text box to send new messages. It should feel like a small modern messaging app, not a complicated social platform.

Use the project structure that makes sense for this setup, with a small server to run the app and a React client for the UI. Make sure it works smoothly with the existing README style setup, and if you need to check current Gun.js or React docs online, go ahead and do that.

Please also make it easy to run locally with clear start instructions, and keep the whole thing lightweight and straightforward.