My mount came with the wing-headed type of screws (sorry, can¡¯t remember the name off the top of my head, not even on my native language lol). However, I¡¯ve had similar issues with other screws/bolts and found that, more often than not, using a torx wrench works well enough. Maybe try a couple and see if that helps. Another option would be an appropriately sized flat head screw driver across opposite vertices of the hexagonal key.
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Lastly, and I mean as an absolute last resort, if the socket is worn down and won¡¯t take any other options, you could use a dremel type of tool with a cut-off wheel to score a slot on the socket head and use a screw driver. Just be careful not to mar that beautiful mount/gemini case :)
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Good luck
