@dwiller1: Assuming you are correct and the tool fits securely into the screw heads and you can actually see the screws turning with the tool, but not backing out of the threads in the backplate, I can only guess that the screw or backplate threads are stripped for some reason. I’ve had mine out about 8-9 times to resync Ring doorbell with my wifi, so I’m familiar with what should happen.
My suggestion is to use an Exacto knife, or similar thin pointed razor blade, to try to gently wedge under the screw head as you turn the screw. Sometimes that causes the remaining threads to grab enough to back the screw out or reach the unstripped portion of the screw.