Found this gem, looks like it depends on how many miles are on your ride. Either way the warranty will buy to a new system in the 167K miles you own the car.
https://www.vwdiesellookup.com/pdf/VWCourtSettlement_Emissions_Disclosure_Gen3_Final.pdf
"The second part of the emissions modification will involve outfitting your
car with new emission control parts to ensure system reliability and
durability over time. If your car exceeds 40,000 miles (for automatic
transmissions) or 70,000 miles (for manual transmissions) we will install
updated emissions control system hardware - specifically a new Diesel
Particulate Filter, Diesel Oxidation Catalyst, and Selective Catalytic
Reduction Converter - that is needed to maintain emissions
performance for the full useful life (150,000 miles) of your vehicle. As
part of the Phase 2 modification, we will also install a second NOx
sensor and corresponding software to improve the performance of the
OBD system. The Phase 2 updates are expected to have no further
impact on overall vehicle reliability, durability, fuel economy, engine
sound, performance, or drivability."