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Something to note is that the money you put in on the flop IS indeed dead money. You can't give him credit for AA until he shows you that he deserves it. And by that time, the put is enormous, even heads up.

You're right, most of the time you play with this flop with AA-AK, you will lose. Too bad the pot is already like 12BBs .

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You're exactly right here. If you were already in the spot where 12 BB were in the pot, you would probably not want to fold since you'd consistently be giving up those 12 BB. I'd have to crunch the numbers to be certain, but with such a large pot, I'd guess it's definitely correct to call down, since you can take down those 12 BB a good % of the time. Thanks for pointing this out, Zeus.