The Tourareg VR6 (gasser) Sport is a tough rascal with impressive weight limits. But like all SUVs, it cannot tow a heavy trailer and haul an SUV full of people at the same time without being overloaded.
tow rating of 7700 pounds
GVWR of 6173 pounds
max payload = 1287 pounds when the wet and loaded SUV weighs only 4,886 pounds.
2012 Volkswagen Touareg Engines and Fuel Economy - MSN Autos
That means when there is absolutely nothing in the SUV except a skinny driver, that SUV can pull
a TT that grosses up to 7,700 pounds. The Primetime Tracer 245 BHS has a GVWR of 7489, so it's within the "tow rating" limits. But tow ratings are extremely optimistic because they do not consider the weight of passengers and hitch weight. Assuming the normal 12.5% hitch weight of a wet and loaded TT, it will have about 936 pounds hitch weight.
1287 max payload minus 200 pounds driver minus 936 pounds hitch weight leaves only 151 pounds for passengers and "stuff" in the SUV. And that assumes the payload rating is accurate.
In other words, you're probably going to be overloaded.
You can fool yourself by claiming you won't load the RV to the GVWR, and thus reduce hitch weight, but almost all RVers load their TTs close to the GVWR by the third camping trip. And you can bet the actual available payload of your SUV won't be anywhere close to the 1,287 payload rating.
Load the SUV with driver, passengers, pets, tools and stuff that will be in it when towing. If you already have the weight-distributing hitch, then include the shank and ball mount for the hitch. Go to a truckstop that has a truck scale, fill up with gas, and weigh the wet and loaded SUV. If the shank and ball mount for the hitch are not included, then add 50 pounds to the weight of the SUV. Subtract the weight of the SUV from the 6,173 pounds GVWR, and the answer is the max hitch weight you can have without being overloaded. It will probably be a lot less than 936 pounds.
As a general rule, I'd look for a TT with a GVWR closer to 5,000 pounds to result in carefree towing with that Tourareg. Then wet and loaded hitch weight would be around 625 pounds. That would leave about another 625 pounds for driver, passengers, pets, and stuff without being overloaded. Then you'd have a fighting chance to not be overloaded. But with that 245BHS, you're probably going to be overloaded. You have enough truck to pull that much trailer, but not enough payload capacity to haul the hitch weight of that trailer.