Fold Aces OTF? Equity says to call

4bet pre is very small in fact.
SB flats after a UTG raise and a MP 3bet... that said I think the 4 bet here has to be a big raise. But then SB folds to your min-4bet, so take a note on him...
Flop you block flushdraws and you have a gutshot-straight and a backdoor flushdraw as well. So what does he semibluff here with? KT? QT? Don't think so.
He can have all the KQ's, KJ's, QJ's, QQ, KK, JJ hands. You are OOP and even an ace may not help you OTT. With a heart you can semibluff-shove to a bet maybe.
Very tough spot for sure this flop. I really don't know what is the best play given his raise...

4bet bigger pre, there are two opponents.
Awful flop for your hand (good flop for both ranges). Checking wouldn't be stupid at all. If you bet you have to go for it all the way though.

Your preflop 4b is way too low. This way you invite all the people in the pot and your hand gets weaker that way. Hit the pot button and raise.
As played, villain's raise is big and I do not mind you folding here. Maybe the idea to xc is not bad.

Bigger 4bet could be solution here. Then I could bet strong and that's it.
With how it was definitely check and see what villain will do. But if I X call his bet, probably big , there's no way then to get out ott. So maybe X fold.
Anyway I agree with floxy that if I bet there is no way out.

why don't shove at 4b directly?

I would like to give a chance to call hands that are dominated, pay for it much more than they are worth.