The dealership said they should automatically update. But if they don't bring it back in and they will do it. Seems inconvenient, but we'll keep an eye on it.
I took mine to the dealership today as I too was stuck on 6.2 with no options to update. It took them 2 hours, but now I have 6.3.2. The bummer is I now have to re-enter all my settings and pair my phone again. But worth it I guess.