Right and popular rarely sit at the same lunch table. Pick right anyway.

Approval and correctness get decided by different processes, so the fact that most of a room agrees tells you about the room rather than about the question. Doing the right thing often means being briefly disliked by people whose opinion you have been managing carefully. That cost is real, and it is also shorter than it looks from where you are standing.

When the two pull apart this week, work out what you would do if nobody ever found out. Do that, quietly, without recruiting anyone to agree with you. Popularity recovers, and your own record of what you did does not get rewritten.