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I think villain has a king 90% of the time in this spot. You showed strength both preflop and on the flop, yet villain still pushes turn for the remaining 2/3 of their stack.
Let's see is you have enough outs to call:
2 Aces + 8 diamonds = 11 outs (22%). This is best case scenerio, in that villain has Kx and hasn't boated yet.
Pot at time of push is $72 (considering rake), and you need to invest another $30. To show a profitable call, you need to win the pot on the river GREATER than 1 in 3.4 opportunities (29%). Pending a good read and a certainty that villain has a king and has yet to boat, this is a no call. If you think villain can be bluffing, the 29% will drop closer to 22%.
Or, maybe he's drawing dead.
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