Great work on all the visuals!
I do think making the game purely luck based is kind of a stinky move, but its your first game, so can't really shake my fist about it too much.
I did notice that annoying everyone seemed like it didn't scale the cost proportionate to the members, so I was able to win in a couple tries by annoying some members once or twice to get them low, then annoying everyone to fully annoy multiple members at once. After that it was just luck on whether the remaining ones were annoyed. Failing didn't feel super punishing since its literally like a 15 second gameplay loop, but I don't really think that's much of a cop out. If anything, I think it would have been better to lean into that with mechanics that weren't solely randomization.
But great work for your first game, your experience with UI and UX really shines through, and props for a building a unique idea and system!