You can use their carpet and upholstery cleaner. Spray it on, agitate it with a brush. Then extract using the extractor with plain water. No solutions clogging nozzles or lines. No worry about what’s in the tank.
If you want something extractor specific, you’ll probably look outside of Adams (which looking at other offerings isn’t a betrayal or anything). We don’t think it’s needed and we’ve done some horrific interiors.