[Chaostracize]

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When AA gets 3-bet... you 4 bet.

Seeing as you didn't, and seeing as how you LITERALLY caught the worst flop possible.... fold. AK/QQ/JJ/TT are all the hands that beat you... KK is the one that doesn't. Sure, he can have KK here.... but are you going to soak up bets on every street to find out?

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He not only CAN have KK, but it's basically the most likely hand in his range

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Why? Sure, you know that after seeing him bet 1/4 pot on the turn, the like 1/10000 pot on the river. I'm talking about the flop after the preflop action when the way that it did. Remember, the T is a scare card for AK. Hero can esily have QQ/JJ/TT here.

If you are EVER folding AA after the preflop action... this is where you do it. And it's where you do it happily.

You are horribly, horribly, mistaken in saying that KK is like the only hand he can have.