The evidence is unfortunately against a simple issue. Torque and clutchpack overheat faults along with "whirring because of the loss of power" indicate clutchpack slip. Plus the car has done 125K and there are shavings in the oil.
A "proper" Audi garage will likely advise gearbox replacement for a lot more money.
A "proper" Audi garage will likely advise gearbox replacement for a lot more money.