The Dealer/Manufactures warranty should be upheld. They would be in the Wear and tear items¹ and adjustments excluded after initial 12 months/12,000 miles (whichever occurs first) portion of the warratny so at MIN 12 moths/12,000 miles and you take it back to the dealer, not the tire manufacture in my opinion.
Here is VWs generic policy:
Limited Warranty Coverage
Your confidence policy.
A great car deserves a great warranty. We build Volkswagen models to perform for years. So we feel confident giving every new VW owner a basic new limited warranty for three years or 36,000 miles.*
Basic limited warranty*
3 years/36,000 miles (whichever occurs first) New Vehicle Limited Warranty. Wear and tear items¹ and adjustments excluded after initial 12 months/12,000 miles (whichever occurs first)
¹Wiper blades excluded after initial 6 months/6,000 miles (whichever occurs first)
Powertrain limited warranty* (All models except 2011 and newer Touaregs)
5 years/60,000 miles (whichever occurs first) Powertrain Limited Warranty.
Powertrain limited warranty* (2011 and newer Touaregs)
10 years/100,000 miles (whichever occurs first) Powertrain Limited Warranty.
Limited warranty against corrosion perforation*
12-year, unlimited distance limited warranty against corrosion perforation (except Routan).
*See dealer for warranty details.