Fogging oil is sprayed into the air-intake of the carb while the engine is running.
I'm in the same sort of boat with my wife's 2-stroke (no jokes) Vino. While the gas/oil isn't pre-mixed, I'm still not sure about putting Seafoam into the gas, and need to protect the engine against condensation.
That being said, on these stupid plastic scoots, I don't even know where the carb is! Need to pull out the manual.