Folding aces on the flop?

In this situation I most likely call, because you said it was K,K,x, say it were K,K,J most likely he doesn't not have the boat, and most likely he does not have a King, so you are most likely good here, he might have A-J or Jack whatever, but If I were him and I paired my Jack I would definitely be reraising your $3 pot bet, only I don't minraise, I'd go to $9, and if I were in your shoes I'd contemplate reraising, but most likely I'd call, just in case you did have the boat or a King, but also because you might fold the Jacks to my raise.

You should call his minraise

[Fallen Hero]

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In this situation I most likely call, because you said it was K,K,x, say it were K,K,J most likely he doesn't not have the boat, and most likely he does not have a King, so you are most likely good here, he might have A-J or Jack whatever, but If I were him and I paired my Jack I would definitely be reraising your $3 pot bet, only I don't minraise, I'd go to $9, and if I were in your shoes I'd contemplate reraising, but most likely I'd call, just in case you did have the boat or a King, but also because you might fold the Jacks to my raise.

You should call his minraise

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If you're checkraising with a J here you don't like money.

to op:
I like the fold. Calling and seeing what happens on the turn isn't bad but it generally won't change much and you're almost forced to lose money if villain checks the turn.