Pre flop and turn is good. River is tough. I'd just soul read/explo it. Whatever's fine.
Does your pool 3b non AA enough (prop not)? Does it trap AA a lot (prob yes).
I'd guess it's a fold, but use your judgement of the pool.
Also it's PL not NL.
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I think betting flop and turn and folding to a raise at any point feels better.
I disagree. We benefit almost nothing from betting. We don't get much value, we look super strong betting on this board, we don't block AA, we don't need protection. We also don't have many hands to bet/call vs a raise, so bet/folding this is difficult (though correct if we do get raised) because it lets them have a fun time x/r bluffing in theory (though in practice they won't, still something to think of).
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I think his likely hands are some type of low cards that are giving up, AKxx that might call twice or AAxx.
So let me get this straight, we want to bet because they might have AA, which beats us, and low cards, that will fold anyway and have no equity against us.
Then we want to bet against AK, which we semi block, is not a huge part of their range as it is, and also... because we want to get 2 streets of value from them?
And why is it that if we do want 2 streets of value we want to bet the flop and not turn?