Good luck getting AppleCare to cover it.
I’ve gotten AC+ on my iPhones, iPads, and Apple Watches for this exact reason. Fortunately never had to use it for accidental damage before…until this year. It was actually my spouse who put a deep scratch in my iPhone 13 Pro when taking it traveling.
I was like, no big deal, that’s why I invested in AppleCare for all these years. Made an appointment and took it into the Apple Store. After 25 minutes of being bounced around from table to table like Apple stores do, the guy said that damage wasn’t covered and refused to repair it. This was over a month ago and I’m still livid about it.
So best of luck to you. Apple is collecting AppleCare premiums that keep getting higher and higher with every new model year, and refusing to actually do the work when it comes time to use it.