The dealer who rejected my claim encouraged me to do just that. It was almost as though they couldn’t be bothered dealing with it.
Unfortunately I had other things going on at the time so never got round to it and now have scabby wheels!
I’ve had a full set replaced in the past without issue for the same reason.
More recently however I was met with a flat refusal when the same occurred on my current car.
The curse of diamond cut wheels!
Try charging the battery again and take it from there, sounds like you have an issue with the battery in any case.
The mileage isn’t stored in the cluster so if you do have to change it the correct mileage will be shown.