It will work, but you'll have to do it very carefully, or you'll sand off too much mud and have to start over again. You don't need to use the specific drywall sanding sheets or screens, I used a palm sander with regular sandpaper to smooth a 7 square foot section of wall after my father-in-law used what seemed like an entire gallon of mud on it. It will get *VERY* dusty very fast, even with a vacuum to remove the dust, so wear a dust mask and goggles. Work in one small area at a time, and go in quick shots, checking for smoothness often.
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