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Yes, you are representing AA, KK, AK. But does villian know you 3bet bluff with suited connectors? From if the answer is no, then its clear for villian that you have AA, KK or AK. Also I have another question: do you know if villian is capable of slowplayng pre KK and/or AA?
As regards villian, I going to put a range on him: he calls pre with 88-QQ (I'm being extremist, I see people who in this situation call and not 3bet), AJ+
On the flop, the only hands that call are 99, AK, AQ and AJ. Lets assume that villian calls the turn with this same range. Now the question is: Is he capable of laying down AQ and AJ here? I personally would, but does depend on villian. If he is folding these hands, then yes it will be profitable. There are 3 combos of 99, 9 combos of AK, and 12 combos of AQ and AJ each. If he is foldin AQ and AJ he would be folding 66,7% of his range which makes the bluff ev+, but with all these assumptions. If the villian might slowplay AA or KK then its a different story
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