Last summer I put a fuel filter and valve on my Ariens 932103 Snowblower. I however did not want to redrain the fuel in the carb so I did not start it. I went to start it in November and I had fuel coming out of the primer. I researched it an many online were saying to simply clean out the ports on the carb and it should fix that issue. So I rebuilt the carb and initially had the same issue for a few seconds, then it stopped. I tried to prime the engine and I am not pushing any fuel, only air. The air looks to be coming out of the hole labeled #20 in the diagram. Needless to say I went to start the engine and nothing. I have spark and there is fuel in the carb bowl.
I suspect the air leak is coming out of the bowl gasket. Tecumseh primes the carb by pressurizing the the fuel bowl, which it turn forces fuel up the emulsion tube to prime the engine. Make sure item 20 ie, air bleed is tight and not just sitting loose.