For a stolen phone with AppleCare+ insurance that has been paid for every month since purchasing the phone, they should at least offer a way to file a claim.

The only way to submit a claim was to click on a button in my icloud account that did not exist. I live in a big city and visited 3 Apple stores and spent about 15 hours in them in total, but none of them were able to help me get the claim filed so I had to give up. One of the supervisors did refund the ~$15/mo that I had paid for the AppleCare+ insurance, but I had to buy a new phone.