After you complete the SLAM and your FC level returns to normal you can fire up the SWG and continue as normal. Since you are adding chlorine manually anyway no reason to leave it on, might as well save on the wear and tear.
Bleach and liquid chlorine are the same product, just in different concentrations.
"Bleach" is the household term for chlorine concentrations from 3 - 8.25%
"liquid chlorine" is the industrial (& pool industry) term for concentrations above that, most commonly 10 & 12.5%. You will often see it labeled as "liquid shock".
This is part of the pool industry art of confusion & deception. They say you can't use "bleach" in your pool because of the added salt and "dissolved solids" it add. But, use this liquid shock, it works great.