Experimented very briefly with a mediation (as opposed to a litigation) framework but it was pre-LLM and it was just a coding/learning experience: https://github.com/dvelton/hotseat-mediator
Cool write-up of your experiment, thanks for sharing. Would be interesting to see how results from one framework (mediation, whose goal is "resolution") differ from the other (litigation, whose goal is, basically, "truth/justice").