I've tried Zirconium Oxide to polish out scratches, it's a common answer found when google searching glass polishing. It does work but only on verrrry light surfaces scratches, if you can feel it with your finger nail it's just too deep and will need to be replaced. Even if you could polish deep enough to remove a heavy scratch it would create a magnifying effect, that's worse.
I hope the store is willing and able to help you!
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