I've got an update from the dealership this morning. They've cancelled my appointment and explained that Stellantis requires all cabin leak cases to go through an independent leak investigation provider. I was surprised to learn that there is a type of company like that, and there are a lot of them across the country.
Stellantis dealership doesn't investigate the source of the leak and they don't replace the rear glass. They manage the whole process, but rely on 3rd party vendor availability to investigate the source of the leak, and then on another vendor to replace the glass. First availability is in a month. My comment that there is clearly a crack in the window trim didn't work - they've responded that there is also a possibility of a leak through the brake light or other sources, and this is a new Stellantis requirement.
So I've parked the truck in the garage with all windows down to let it dry. Appointment is in a month.
Or should I try another dealership?