If it is the Phillips screw that is buggered up, take a flat punch and smash on the edge of the slots. This will "bend" the metal back into the hole where the tip of the screwdriver goes. Then using the tip for an impact driver (the kind you hit) tap the bit into the screw so it seats good then use the impact driver (again, the kind you hit) put some torque on it then smack the driver like you mean it. If you hit it with your purse it will just bugger it up again, then more drastic measures will be needed.
If it comes out the only thing you want to use the old screw for is to compare to the NEW one to be sure it is correct.
Very common issue when using Phillips drivers and not JIS. Back in the old days I used this method alot because nobody knew WTF a jis driver was...........including me!🙈🙉🙊