wagudc
·On similar type gun screws and other antique watch bracelets I have soaked in penetrating oil overnight and as @Archer suggested- made sure I have made any modifications necessary to the blade to meet the head perfectly. Some of the flush-fit blued decorative screws on antique firearms- you only get one shot.
Holding the bracelet in a bench vice and the blade by a locking pliers has allowed me great control and slow application of downward force as I turn when necessary.
If you take it easy and slow and think it through before you have at it, it will come out easier than you think.
Thank you, all good advice. Had some barbarian not destroyed the screw head before I got to it, I am sure it would have worked. The walls of the slot are about 135° from horizontal.