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I like to 4-bet AA/KK all in.

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uh yeah, but CO flatcalls/shoves, this is never AA/KK.

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I make plays like this exactly in this situation when I know there's an OOP player who likes to squeeze too often. Usually it's bad LAGs instead of 2p2s, but if I see them squeeze more than once a session I try to lay this trap.

This can definitely be AA/KK. I think these hands are a lot more likely than AK or KQs. You are either coinflipping or way behind, and I don't think getting slightly better than 2:1 is enough to enter that situation when there are so many pairs in his range. If CO was bad I might call, but he's not so I think it's a pretty easy fold.