Briggs and Stratton Primer not Blowing Enough Air

I have a B&S 125K02-0658-E1 on a Craftsman 917.376162 push mower. When I try to use the primer bulb no fuel comes out of the carburetor jet, however, if I use a syringe to blow air into the hole on the primer bulb or directly into the carburetor, fuel comes out of the jet. The bulb is in good shape, I have cleaned out the carburetor and the air filter housing, and I have tried using multiple gaskets in between the carburetor and the filter housing but nothing will get the bulb to work. Does anyone know what I am missing or have any suggestions?