Can't get security screws off!

I can't get either security screw to come off. The head is NOT stripped, I can get the Ring supplied tool in there, both screws spin with no problem, but just don't come out - they just spin in place. I can't get a good grip with pliers because the head of the screw is so thin. I need to change the wifi this connects to, and apparently you can only do this by accessing the orange button on the back of the unit, which I cannot get off. Beyond frustrated.