Re: 20-40 Pocket Jacks hand
I would have just called the turn bet. He's representing an ace. If he doesn't have one fine, you can catch his bluff(s). Would he isolate from middle position with an weak ace? Even if he did, I doubt he would 3 bet the turn after you raised. Would he three bet with KK or QQ? The second ace reduces the chances you have one but if that's what he thinks why 3 bet? He could just call your raise and check call the river if he misses the boat.
As for betting with an ace on the turn, he may be afraid you'll check behind him. Afterall, you must have the case ace if you have one, so he'd have to check hoping you'll bluff at the pot.
The weak player may have an ace. If not, then going for the overcall isn't that bad, is it? He might be calling with a hopeless hand.
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