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You are only turning your hand into a bluff when you feel it is behind your opponent's range and you are trying to make them fold often enough for the bluff to be profitable. In this case, Button doesn't have to have a super-strong hand. As acoss3006 said, if UTG has minraised like this before, Button's reraise could easily be an iso-3bet.
As for what to do, I have to lean towards 4betting. I think Button has an A in his hand a lot, and otherwise he probably has like 99+. We have no idea what UTG has, but he's certainly coming along if we just call. Regardless, we aren't going to be very comfortable when a lot of money starts going in postflop... On a J 9 3 flop, does Button have QQ, AJ, KJs, A X , K Q , or is it AA, 99, JJ? Does UTG have T8, QT, any two spades, A9, top pair, or is it J9, 33, 99, JJ?
With AA in this spot, I would be more likely to consider flatting. We don't have to worry about an A coming and killing our hand for one, and postflop there is one less hand we have to worry about that beats us. But still I probably 4bet smallish (to somewhere around $9) instead because UTG might just be bad enough to flat it, another reason that 4betting KK is good as well.
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