person 1 can read minds.
person 2 can see the future.
who wins?
person 2 can see the future.
who wins?

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how do you think false thoughts?the soothsayer can think false thoughts to throw off the mind reader
this scenario happens in real life in "solved" games like connect 4 tho, chess hasn't been solved yet but white could probably always win or stalemate with perfect info
Just because you know what the future holds doesn't mean you can necessarily change it.