if you don't mind if having to buy a new screw, there are specialized stripped screw extractor bits for drills where one end makes a hole and the other grips the screw and takes it out, they can be bought on aliexpress for dirt cheap
I received some bad screws in a high-end monitor mount for medical diagnostic monitors. The tech who was mounting the monitor didn't realize, and tried to use gorilla strength to drive the screw in. He broke the head of the screw off.
The monitor in question was a brand new, $13,000 monitor. We needed it, and we couldn't wait to ship it back to the manufacturer to get the screw removed.
I got the smallest set of screw extractors I could buy, wrapped the monitor in plastic with a hole over the screw. I put a piece of tape over the hole so that everything was sealed with only the screw exposed.
I went very slow and very gentle, vacuuming up any bits of metal shavings before fully removing the screw, but it went fine.
It was quite a butt-puckering operation, but I survived it.