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This is a similar hand to one that gonores put in mid/high a couple months ago.
Here.
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The point of gonores's post was that he had gotten KK to fold. I simply cannot fathom any 3/6 player folding an overpair here, so I don't think your turn bet has a lot of value. That said, you have a lot of outs if behind & it doesn't really cost you that much EV to try.
jvs