I think I'm in a similar situation and try to find out how to cope with it. The strategy I'm thinking about is - realizing what's happening (as you have articulated wonderfully), anchoring my self-worth else where (writing code / designing original solutions -> pushing what ever that's being discussed by those 3 people to an executable conclusion), finishing and delivering this project asap.

I guess the next step for me is to figure out how to avoid going into such situations (I entered the situation because I was joining a team in an area that I wasn't familiar with and decided to work on an existing project whose owner has a very strong presence and I didn't clarify the specific work item / boundaries clearly in the beginning).