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I think its a pretty easy shove on a blank turn, the overcard ones are the ones I'm hung up on, A and K scare me the most and I think I would prefer just checking it down with all of them, not sure how likely that happens(by checking down I mean not put more in than what BTN has left)

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With him cold calling here he either has a big hand and wants u to raise thinking hes drawing, or has a good draw

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again the speed of the call suggests he has a draw nearly always, when someone has a set they will likely think about the other options briefly before deciding, also there aren't that many combos of sets possible, and he would have basically had to decide to c/c all bets before the action got back to him

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off the wall thought but if you bet enough on scary turns so that BTs inevitable shove is less than a minraise you cant get raised off till you at least see the river

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I might be misunderstanding you, but if I bet the turn, BTN has only 2 choices call or fold the pot would be ~80 with ~70 left for me/sb, 17 for BTN

if I bet the turn I think my only option is shove