How do people cope in teams where some or even most members are vocal but actually always completely wrong and you’re the only one seeing it?
Alternatively, use your opponent's momentum against them. Reorient your thinking and accelerate the destruction of their bad ideas by encouraging them.
Sometimes a project gets funded by someone who wants the team to look and act a certain way and actual productivity doesn't even factor in. You're not 'right' if you've fundamentally misunderstood what you're doing there in the first place. Either take their money and play along or leave. That's the call you can make.