Trailer misnt be too far away or you'd have spoke of that mileage too.
It will not mess up your truck period. Towed/ hauled about 7klbs in my F250 from WA to AK up the Alcan last year right off the showroom floor. No problems.
Towed heavy with my 11 F150 right away. No problems in 80k mi with it.
Orig owner of my 07 Ram hooked up to his toy hauler the day he brought it home and didn't unhook it for 10k mi basically until I bought the truck. 120k now and the R&P is fine.
Being a personal vehicle, I wouldn't floor it up hill for 100 mi straight right out of the box with a boat anchor behind it but you will be fine bringing your trailer home.
No it doesn't void the warranty or the 20 new trucks I rented this winter that each got hooked to a trailer right off the car hauler from Anchorage BY the rental shop would not have ever happened.