Hello,
Your play isnt very good, especially with BU having only 4% preflop raise and minraising a minbet.
In such a spot we have to proceed with caution. We cant really call, folding is the best play, since I expect his range to be AK,QQ+ here.
That being said, even against an unknown you are not representing AA/KK, but more or less what you have - an AK/AQ with or without the FD(without it the play is pretty bad obviously). Against this player I'd cbet small such a flop and give up, or even more, c/f it, as he isnt folding the majority of his range.
Best regards,
darkonebg
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