I was learning to code again, and I built this backroom simulator(https://simulator.rnikhil.com/) which you can use to simulate conversations between different LLMs(optionally give a character to each LLM too). I think its quite similar to what you have.

On a side note, I am quite interested to watch LLMs play games based on game theory. Would be a fun experiment and I will probably setup something for the donor game as well.