Lawn Tractor Question

That pin/plunger is stainless steel. I believe it would be hard to cut it out. The solenoid holds the float bowl in place by screwing into the bottom of the carb under the float assembly. I tried to unplug the wire from the solenoid and the mower did not run at all. I guess I will just let the mower shop come and get it again.

Yeah I checked around for a bowl nut and washer from a earlier carb. 3 to 5 days wait. So the solenoid body still holds the bowl in place. I dont remember if I used a hacksaw or stuck the thing to the grinder. I know it is history. :)
It isn't your problem unless it is loosing the power supply after start up. Good luck with it.