spots like this are difficult because you can tweak villain's range slightly in either direction and come up with a different result.

that said, i'm leaning slightly towards just folding to the 4-bet. i'm thinking that villain prob doesn't think you are 3-betting light out of the SB with a super fishy still to act, and 140bb deep is generally a bit out of my comfort range for felting AK pre. every situation is different though, of course.