I would also not suggest you probe and short the pins on the receiver dryer on this car, they are sensors which report to the HVAC pushbutton unit unlike the old analog items on the W123 and W124 cars.

The A/C quote you got is incomplete if they are not changing the condenser. It is also a good idea to test the evaporator for leaks. They do leak and its quite a pricey job to farm out. Its not too complex, its just lengthy.

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2012 BMW X5 (Beef + Granite suspension model)

1995 E300D - The original humming machine (consumed by Flood 2017)
2000 E320 - The evolution (consumed by flood 2017)