Need tips for removing scratches on glass

I have some minor scuffs and scratches on the glass on my exterior doors, mainly from cleaning up stain and polyurethane with razor blades. They’re not deep scratches, and some you can’t even feel with your fingernail. I tried the toothpaste/ baking soda method rubbing manually, but that only helped slightly. I think there’s a cerium oxide paste I may need to buy? It would be nice also to use something like a dremmel tool with a buffing pad. Thanks.