How to implement a web pause button when streaming via ffmpeg from a server?

Question

User interface

Hello everyone,
on the Ubuntu Server server , it is configured to broadcast game records on goodgame.ru via ffmpeg . The video files are uploaded to the server. Sometimes you need to pause the broadcast and stream a live game from your computer. And after the live stream, resume the broadcast from the server again.
Ideally, I would like to upload a page with the Pause / Play button to the server, and not climb the server with handles.
Can you please tell me if this is possible and how best to implement it?
Thank you!