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Pretty gay spot. I feel nitty if I c/f river, but idk. His range still has loads of strong hands in it (unless he raises turn with his sets just because like some do). He still have KK, 66, 88, KQs, AK in his range. Against that range we have 33% equity. I really don't see any worse made hands that he would call with.
So it seems checking is correct. He surely bets {88, 66, KK, KQs}. Not so sure if he would bet AK or not. And he probably doesn't have many floats in his range that would bet river (maybe 97s), but prob not.
So yeah, idk.. Seems gay to c/f, but not sure if betting is correct, and check/calling doesn't seem great either. That is unless he raises the turn because of your betsize with his sets.
I feel I mess up in these spots pretty often, so looking for some feedback.
Also, as a sidenote, I don't like your betsizing on flop and turn. I would go a bit bigger. Like $10, then $27 into $33 on turn. Leaves you with less than a PSB on the river.
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