I think this puzzle in this textbook is wrong, or I don’t get it

It says that the black group can live. I don’t see it. Can’t white capture the top black stone? Black can only make one eye here.

White got a lot of cutting points and Black has sente, there are a lot of ways to live as Black.

Yah, the simplest is atari, atari, atari, atari.

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Yeah I messed up I thought black was against the wall for some reason