Can i fold AA to LAG in BB?

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$2-$4NL Pokerstars Full table
Hero($380) in Middle position first to act raises to $12. Table folds to BB($580), BB 3 bets to $40. Hero flat calls.

Flop J 9 3 rainbow Pot($79)

Villain bets $60, Hero reraises to $180, villian pushes allin. I have about $180 left can I fold in this spot or is it an insta call?

I have played with villain many times. He is LAG and does play suited connectors very aggresive, however he usually does not push all in without something strong.