AppleCare expiring in 1 month, how do I get the most out it before it expires

Unfortunately my battery health is still at 84% despite my best efforts to degrade it faster. Any chance I might be able to get the free battery replacement if I ask very nicely?

I think I can get approved for the express replacement though, there’s a tiny crack on the back glass, but a crack regardless.

Not interested in extending the AppleCare though, since this iPhone is already excluded from having the latest features. I’m planning to use it until the 18.