$5.5: ITM, gets AA. Then the flush hits the turn

[Askilus]

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5000 or so chips in pot already with flush i think he pushes, half pot bet looks like top pair to me.

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Hmm, to me it seems that he would to it the other way around. Push a top pair because he is afraid of a fourth heart and "milk" me with a 1/2 pot bet if he has the flush (if his flush is fairly strong). But maybe I'm just another weak-tighty. Am I wrong?