You can use an acrylic nail tip for removing a stone from a bezel.
They have sharp edges, are flexible but strong, very thin, but will
not scratch the metal or the stones.
Nail technicions use them all the time lift the old acrylic nail
off. They slide it between ones real nail and the old fake nail.
ps. Fake nails while not really artsy, actually help to protect my
hands and nails from injury. The only caveat is that they will burn.
They also help when making sales presentations. You can look like
the elegant woman your jewels are made for,not just the worker-bee
shlepper. that makes the stuff.