Thats not how the service plan works. They are prepaid. It doesn't suddenly expire at 36 months. You will get everything listed.
Need to look at how it actually works.
https://www.bmw.co.uk/en/topics/owners/service-workshop/servicing/pay-monthly-service-plan.html
Fox didn't say it expired at 36 months, but 36k miles, and he's not talking about the pay monthly plan, but the service pack that you have the opportunity to buy with a new car.