In a n-to-n conversation, it's important to choose which side to be happy. In which side is your boss? :)
Also wait for the correct timing. I still remember 2020 Zoom meetings. A useful tactic was to let everyone discuss the bad options for a while and when the discussion is fading tell the correct one.
I think there was a post of AI plays Mafia https://news.ycombinator.com/item?id=46438599 and perhaps others https://hn.algolia.com/?dateRange=all&page=0&prefix=false&qu...