Having trouble playing AQ, especially AQs when I am 4-bet by the button or CO and I am in the SB 3-betting it. My real problem comes usually after just 3-betting an opponent and then getting dealt AQs, 3-betting them and getting 4-bet with no real history on the villain. On one hand I feel like now they are playing back at me but on the other, I feel like getting in AQ is just too loose pre-flop with no reads.

Is just folding here the correct play? I really dislike calling OOP because usually I'll just miss the flop and have to fold vs. a cbet.