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I would deal with this situation by thinking about the calling and raising ranges of the other players at the table. First, what Airles says is right-- if a good player with a tight range 3-bets you, you know you are behind and out of position. If a loose player 3-bets you, you might consider trying to isolate him or her as you may be a coinflip or better (though bear in mind that AQ is much worse than AK for this sort of play, so you really have to put the loose player on a pretty broad range).
If you get callers, then you need to estimate what they will call a pre-flop raise and not 3-bet with. You will see the flop, and there are some common scenarios:
1. Ace on the board, and a couple of rag connectors or suited cards. You then need to analyze the betting to determine whether someone hit 2 pair or a straight draw with their connectors or a flush draw with their suited cards or a set with their low pocket pair. But you are often ahead in this scenario.
2. Ace on the board, with some other broadway cards up there. Then you need to analyze whether someone hit his range calling you with two broadway cards and whether he or she now has a straight or 2 pair. Perhaps an Ace-Queen hit and you have 2 pair and have to price out the draws.
3. No ace on the board, flop unlikely to hit anyone's range. Now you are thinking in terms of a c-bet and what you will do if you get raised or called.
4. No ace on the board, flop likely to have hit someone's range. Watch the betting, but this is often a check-fold.
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