Checking my last day of health coverage (update)

I am not sure what date my benefits stop after being let go as a software tester. I am in Albuquerque, in case local advice matters. I do not want to be surprised by a bill. What should I do about appointments?

Keep everything in writing and save the confirmation numbers. It made the follow-up calls so much easier.

Ask HR to confirm the exact date in writing. I also called the insurance company to double-check.