UTG folds
MP folds
CO raise 2.5$ (stack 180$)
BU folds
SB folds
BB Hero 3bets 9$ (stack 170$)

CO 4bets 27.5$ (stack 180$)

Hero with AA. call..? 5bet?

Do we generally need a call range oop facing so big 4bet? Or we play all our range 5bet or fold?

My thoughts.
We are deep, so his 4bet range here should be QQ+ AKo+ I guess. May be some bluff 4bet with A3s-A5s.
In this hand we can try get more value from other hands postflop. We can stack QQ, KK on a low board. Or get some value from AK at K-high boards. That votes for call pre.
But in general I don't like this play since I don't know what other hands except AA I can play calling 4bet. That's why I think we play here fold or 5bet around 57-63$, where we 5bet with KK, AA, AKs (?), A3s-A5s as a bluf.

Your thoughts on this spot, our and villain's ranges and sizing are highly appreciated.