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c/f is fine. It won't be the last time you have KK.
PF: I don't mind 3x but I typically go for a 3.5-4x 3-bet size, especially with a hand as strong as KK. You want to get as much in the pot as possible while its likely you are still ahead.
Flop: Obviously no problem betting 2/3 pot here, but why not make it $2.50? or $3?. There's no rule that says you can't bet pot just because you 3-bet. Obviously the flop is mildly dangerous with a straight possible, but I'm not too worried about it yet with his raise PF. Obviously TT and JJ just got there, but you have to make his range wider than TT+.
He's gonna want to call with KJ, AJ, TT, JJ, QQ, AA, etc. You are obviously wanting to get it in on the flop, so bet as much as possible to do that. You would be amazed how often you get called even if you overbet the pot to 3.50. I'm not advocating this though lol.
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