Those screws are small, so any attempt to re-thread it will just problably cause it to shear.
I think the best approach would be to take a T5 bit. This interchangeable bits you get with screw drivers.
Hold it in the hole, and use glue to stick it in there.
Once it is held in place, add more glue, being careful not to spread it over the edges of the screw. Try and maximize the surface area covered by the glue between the top of the screw and the T5 bit.
Leave it to dry, and then try to unscrew it.
You need to choose a glue with high tensile strength.
E.g. J B Weld. The twin tubes that take a long time to dry/cure tend to be the strongest.
So, probably find something to hold it in place for a while until it holds itself, and then leave it 24 hours to set.
You might want to put some paper or electrician tape around it, so it does not stick to the wrong bits. I would cut a round hole in some sticky tape and place it over the screw, so the only thing showing is the top of the screw and the hole in the screw.
When unscrewing it, do it slowly, with only gradual pressure, just enough until it rotates a bit.
Once it is released, you can use a heat gun to separate the T5 bit, and get all the glue off it.