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Also, i might actually fold out some 88/99 as well as get called by worse 7's.
How do you figure that? He'll ditch 88/99 but call with worse 7s? I'm not saying this is flawed thinking, just want to know. He puts you on an overpair as you're representing, so he'll fold all 7s except those also have a gutshot, which are likelier to improve vs an overpair than 88 and 99?
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Also, Villain would never be value shoving this river with some Ax two pair like A5s or A2s.
This is another assumption, because anyone with game sense should see you either have a real hand or are calling down. If he shoves the river on missed draws he should still shove on just a rivered ace no kicker. His shove is just 2/3rd pot too shoving river too, what other value bet can he make?
If he still has enough missed draw combinations, then not a bad spot to bluffcatch. It's just not so cut and dry that you beat him everytime on the river, you still have to give him Ax or A5 or whatever and do the math. I actually agree that on his runout + your plan you have to call. If he is draw heavy, and you're supremely confident in your reads, I have nothing against you swinging for the fences. A lot of highcard flush draws, all the gutshots and OESDs missed.
The danger is just in the assumptions. A fallacy is that he'll raise cbet wide -> hence he'll continue when you 3bet flop light. You don't know that, and this is a very expensive way of finding out. In order for this play to work out better you should just call his raise, then bet PSB on turn to disappoint his expectation for a free card.
What was your plan if turn was a spade or an offsuit King or Jack for example? Genuinely want to know. Pot is bloated, do you keep going or do you check fold?