The older 350's had a plastic clamp on the boot at the cylinder that would distort with time and heat and leak is the reason of my fist post. The plastic clamp would even come unsnapped.
The cover may be pushing the plug wire against the cylinder fin? Try rearranging it anyway?
Examine how the carb get air with the cover on?
I bought a 371XP cheap one time because it ran like this. There was a bushing that had come from the brake handle that the flywheel fins had slung against the air injector jet for carb air and crushed it.