I would rule out AA for BB. Mostly they would raise pre-flop rather than see the flop 3 ways OOP.
So the hands we lose to are flopped flushes/QT/KJ/JJ/99/33. I think QT have less combos than the max because BB would fold the non-suited ones some of the time. Also BTN may have QQ/TT some of the time reducing combos.
Having said that, I don't think BB is bluffing much here. Hero can have a flopped flush or QT or even KJ.
So I would fold. Villain would have to be bluffing like 35% of the time for us to break even calling. With most likely the A
. Could be a hand like A
/X where X is a Q, J, T. But I don't think these bluffs add up to 35% of the total hands that would be betting like this.