Not familiar with "sea foam", but the engine fogger I use you just warm the engine up, Kill the engine, then remove the air filter. Re-start the engine and when it starts to spuutter(carb out of fuel), I spray a shot into the carb. Let the carb vacum pull it thru into the cylinder. That way, you have a good coating on all the lines and passageways throughout. If it's for long term storage, I pull the plug and spray some directly into the cylinder, pull the engine over and repeat.
Some guys won't spray into the carb, and just do the cylinder treatment. It depends on the mfg,, follow their directions. When it comes to bringing your engine back on line, just add fresh mix, prime and start. The engine may smoke a little until all the fogger is expelled out the exhaust. If you use a lot of fogger, sometimes it may be a little harder to start the engine.I always pull the plug and clean any residue off before I try...