Tiguan 5N air conditioning system not working

Hello everyone,

I'm afraid I have to contact you about a curious climate-related issue.
The air conditioning system in the 2.0 TDI 140 hp Tiguan 5N (2010) is no longer working.
Please find attached the Autoscan report, as well as a picture of the climate control values that I believe are relevant, taken from the climate control unit.

The compressor seems to be running. At least, the internal "piston" is firmly engaged and everything is rotating. Also, it gets warm during operation. Both refrigerant lines leading to the evaporator remain equally warm. The small cooling fan also doesn't turn on when the AC is running. However, it can be successfully activated and runs at a high speed via the actuator diagnosis in the engine control unit. Therefore, I can rule out a mechanical defect.
I have the impression that the compressor is not working. Is there a way to verify this?
Thank you in advance for your help!

I wanted to edit the thread, but "Aunt Edit" (meaning the editing function) won't let me. Therefore, the solution to the puzzle from Saturday is being posted here for anyone who is interested.

The toothed wheel on the pulley's drive shaft is damaged. The retaining screw has sheared off. As a result, the drive shaft is spinning uselessly on the compressor's drive shaft, bypassing the overload protection. That's the situation. Good night, everyone.

Thank you for the feedback!