Unless your TT can get up to 140 mph with a dragging brake, you don't need to pay some rip-off merchant to put nitrogen in the tire.
During my Boeing career, I did quite a bit of research into in-flight tire bursts which occurred after the landing gear was retracted. There was one incident on a USAF C-5A which wrecked the airplane (but without injury to the crew), one on a 727 which blew a big home in the wheelwell pressure bulkhead, and one very sad accident on a Swissair Caravelle that caused the plane to crash and killed 69 people.
In every case, a dragging brake (or a heavy brake application, in the case of the Caravelle) got the wheels so hot, the pressure build-up in the tire after the gear was retracted, caused it to blow apart. In the 727 incident, there was spontaneoius combustion of gases inside the tire, with an estimated peak pressure over 10,000 psi. It's because of that combution risk that nitrogen is used in airplane tires.
There is absolutely no technical or safety justification to inflate the tires on road vehicles with nitrogen.
Frank and Eileen
No longer RVers or FR owners