Once a car guy, always a car guy…
Here are a couple of pics of a problem that will occur on most every gasoline powered car with direct injection and the repair is cleaning of the intake valves and intake manifold. This happens to be an Audi S6 V10 that has been an ongoing home project for the last several days. The dealer price quote was $2800 for the cleaning. and another $2k for the water pump.
The water pump is on the 4th photo down - on the right in the picture.
The serpentine drive belt on this engine only drives the alternator - nothing else. everything else is driven via shafts on the engine (PTO).
The ac compressor is also shaft driven and is mounted above and behind the water pump - that won’t be a joy to ever replace!