if OP has to do this "a few times" I suspect more than a dry fuel bowl. assuming all other things are working correctly. 10 seconds of run time should fill the fuel bowl.
assuming 600 rpm at idle (which is 10 rps, 600/60)
10 seconds of idling
the crank rotates 100 time
fuel pump is off the cam so 100 / 4 = 25 revolutions or 25 pumps for the fuel pump
That should be enough to fully fill the fuel bowl
