Hope so these troubleshooting guide can help you!
Check if your Black & Decker bit set includes any ***bits*** that might fit more snugly into the stripped screw head. Sometimes, a different bit type or size can gain enough grip to loosen the screw.
Apply a small amount of ***super glue*** to the tip of a wooden or plastic dowel, and insert it into the stripped screw head. Allow it to dry completely. Once dry, turn the dowel counterclockwise to hopefully unscrew the screw.
Now the final method that may work If you have access to a ***soldering iron***, gently ***heat the stripped screw*** for a minute or so. Then, use your screwdriver to turn it counterclockwise. The heat can sometimes help break the bond of corrosion or old adhesive.