Advice for towing a new TT with a 2004 4-door Tundra

Only think I'd say is that NOBODY tows a completely empty trailer so empty weight (dry weight) is a meaningless number. The trailers GVWR and tongue weight are two weights you need to consider. Fully loaded tongue weight can be as much as 15% of the GVWR so be sure that fits with your trucks rating.
Good luck / Skip