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I put villians preflop range here as 77-AA, AK, AQ, possible AJs.

Does that change your opinion of WA/WB, as hes not gonna lay down many PP's and allowing me to value bet? Not to mention peeling with AK?

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By checking the flop and turn, we have already given him the chance to peel with AK.

So I think the important part is the turn c/r. And it really comes down to if your range of 3-betting hands is accurate, and how often you think he will lay down a hand like 77-JJ to a turn c/r.

So I'm not really sure. I think the turn c/r opens you up to getting 3-bet by AA-QQ and allow him to lay down a worse hand. I think I just call the turn and lead the river if it's not a king. This allows him to call with his 77-JJ hands and I think we're less likely to get 3-bet if he doesn't have QQ.