I know for most games the simple answer is to just put in a new sheet or have custom glass cut but this particular game is a Night Moves Cocktail pin which due to the shape and masking of the glass would be difficult/cost prohibitive to do.
I'd say the scratches are all either light/medium in size. Would a glass shop be able to polish the scratches out? are there any compounds that could be used with a buffing wheel that would be easy to DIY? Just seeing if there are any recommendations out there. I enclosed a pic of night moves (not my pin) for reference. thanks!