Lawn Boy Supreme won't start

[a.palmer jr.]

I have a Lawn Boy Supreme S19ZPN that ran just fine before late last summer. I put it away for the winter and of course when I got it out lately it wouldn't start. It would run for 3 or 4 seconds on choke and then it would die and wouldn't start after that. Let it sit for awhile and it will run for 3 or 4 seconds again. I've cleaned the carb a couple of times and set the mixture screw at different settings and it still does the same thing. The float looks good and everything in the carb is clean but still won't run. I checked the gas tank and it seems to flow enough to keep it going. Any help would be appreciated.
It has fresh fuel and a clean air filter, also. Doesn't have primer bulb.

 

[Rivets]

Check my reply to float issue Lawn Boy. Your problem could be the idle jet.