Honestly, that carb is so scuzzy that I wouldn’t run it without a serious cleaning. I know you said you are using carb cleaner, but it needs more than that. I would go down to your local Napa and get a gallon bucket of carb cleaner, it’s different than the stuff you spray. It comes with a basket that you can put the carb in and dip the whole thing. You do have to remove ALL rubber and plastics pieces from the carb, but the stuff works well and cleans where you can’t see or get to. I would dip that carb for at least a day. Any little flake of that crud in the bowl could lodge into a jet or orifice and make it run bad intermittently, it’s worth it to just clean it properly now that you have it off and apart.
The slide and float can be sprayed with brake cleaner, but just be careful to not saturate any plastic or rubber with the spray type carb cleaner for too long and soften the material.