My Yard-Man has a 158cc Series 550 Briggs
I was plagued by this problem for about a month and after taking off the carb more than once and cleaning and blowing out all the ports and passages without good results I concluded that this carb was defective and bought an new OEM carb. SAME PROBLEM! I needed to determine if it were a lean or rich problem as I was certain of having spark and compression. Started it and waited until it started to stumble, just before it stalled I gave the little priming bulb a squirt. It immediately caught again but only for a second and then started its stumblingly way back toward a stall which I could catch again with another squirt. OK, BRAND NEW CARB AND IT RUNS LEAN! WTF! In frustration I gave it a really hard squirt that depressed the bulb all the way in. It came back, but now was sounding that rich, farty, rough running way, like when you choke a motor too much. But it almost immediately came back to normal run. AND it kept running! So now instead of the 3X pushes they say to give it, I push the priming bulb until I actually feel a resistance and the sound of pumping/squirting fuel and THEN I give it three solid, long, hard pushes. It may not start on the first pull as it is now a bit flooded but once it starts, it keeps going. My theory is that fuel drains out of someplace within the carb body and never gets completely re-primed unless you really pump that bulb. Hope this helps.