It would be one thing if the service manager / advisor / tech / porter was out getting high and doing donuts in baja mode, and spun into a light post or telephone pole. But this seems like an honest, albeit careless mistake.
The stealership is at least pretending to want to make it right and I’m sure they will with your help.
don’t go nuclear, life is too short for letting stuff like this eat at you.
OTOH, previous posters have given you some really good advice.
1) get pictures - your own pictures.
2) replace, do not repair the tail light.
3) go over expectations up front with the service mangler.
-- if you don’t want it in carfax, that’s probably going to put you in between their insurance carrier and you, particularly if you want receipts. And you will, just in case months down the road you have a mysterious DTC occur that traces back to that repair.
4) any paint repair should be optically perfect, you shouldn’t even be able to tell with a magnifying glass there was anything done.
5) No peasant cars while this is being fixed. They can put you up in a quality ride.
Pi$$ poor customer service has been amplified over the last 2 years with the universal excuse of China Virus. Here, the stealership has had some adversity but they look to be trying to do the right thing.
Be gracious and work with them and if they follow through and handle it the right way, make sure they know about it. Everyone and every company makes mistakes. How they react to and correct the mistakes is what really defines them.