See if it has the correct gas cap on it, just for general principles.
As inexpensive as new fuel pumps can be, and since it's a "new to you" car, even if it does not help fix the problem, you at least know the fuel pump is good. Check to see what a few spark plugs look like, if they look gas fouled or whatever. Just find three easy ones to get to.
Can't always go by the fuel filter showing to have any fuel in it as it can appear "dry" and the car still runs and the accel pump has "shot".
Before you change the fuel pump, the next time it dies out, after it has died out, take the air cleaner off and operate the throttle to see if the accel pump shoots gas out of the accel pump nozzle. That wound indicate if there's any fuel in the float bowl on that side of the AFB.
Is the electric choke working as it should?
CBODY67