[Pasterbator]

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I wanted to avoid playing for Villains whole stack without a made hand.

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You shouldnt look at it like that. He has under half your stack. You should put him to the test here preflop. He's the one that should be worried, not you.

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Should I have min-raised it? I really put Villain on a very tight range here JJ+, AK,AQs. He might have laid down JJ or QQ to a minraise. Can you fold if he comes over the top of your min-raise? Can you fold to his pre-flop raise (how weak-tight is that).

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I don't minraise. Ever. The plan to fold minraise and fold to a reraise is very bad. With his stack, he's not laying down JJ/QQ. And folding AKs to the original raise without a strong read that he has AA/KK is very weak tight.

I think you're just being results oriented, since he probably had AA.