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[1] 22+, A2s+, A8o+, K9s+, Q8s+, J8s+, 34s+, 89o+, all broadways. My range is going to be pretty wide here (obviously). Probably wider than normal since the BTN is a nit/TAG basically allowing us to play the BTN twice every orbit. The only thing that keeps my range slightly tighter than it would be otherwise is that the SB is a possibly thinking aggressive player.
[2] For me, this is pretty much an auto c-bet with my entire range. Villain is folding a vast majority of his hands. He's continuing with all PPs, AT, KT, QT, TJ, maybe some overcards like KQ, QJ, AQ, AJ. So this is obviously a +EV cbet.
[3] The turn is a pretty interesting card. When we double barrel the overcard + coordinating board will likely make him fold out all his PPs 22-44, 77-99. It hits a fair portion of our range, improving our TJ-AJ, gives our SCs FDs, and gives us overcards + draws, OESDs, etc. Our sizing makes me think its more of a value bet or betting a strong draw than a double barrel, considering we know the villain in the hand is pretty fit or fold.
[4] Once we fire the the 3rd barrel I'm convinced we have a hand like TT+, TJ-AT, QJ-AJ, and missed draws.
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