It seems there are actually two separate issues.
The first being chain driven oil pumps which suffered chain/tensioner failure.
The second is the pump being driven by one of the balance shafts in the engine, via a hex section shaft.
There’s also some discussion over the chain drive being changed to gears. In any case, if you’ve got either of the above it seems likely that at some point the oil pump will stop pumping and potentially cost several thousand pounds to repair.
Hard to tell without speaking to Audi direct (if they’ll even speak to you) if your car has one of the dodgy ones. Getting the engine code or VIN out of the car dealer (who is quite far away) is likely to be very difficult.