Suzuki Swift Sport MZ idle speed

Hi, I have a problem with my Suzuki Swift Sport MZ BJ 08 and hope for helpful posts In idle, the number of turns varies by up to 600 rpm. I also have a warranty on the car and have been 3 times because of the problem in the workshop. The first time I had an additional grinding noise. It turns out that the bearing of the climate compressor has turned out. On the side of the workshop it was said that this also has to do with these extreme speed fluctuations. Unfortunately, the changed climate compressor did not solve the problem. The second time, the throttle valve was cleaned. Unfortunately, this did not bring the desired effect. The third time, nothing was done on the car and I could hear a lecture from the workshop master that this is not a problem, but is normal, because it only occurs when the air conditioning is switched on and that is connected to the magnetic coupling. It would also be normal that the I am very dissatisfied with the fact that I do not know about the cars I have driven before. At the moment, I am actually considering taking legal steps, because the workshop refuses to re-improve, since there is no problem in their eyes. Therefore, I hope for opinions or experiences here, whether this is the case with the model described above. I’m getting really desperate because I’m not being taken seriously in the car dealership. Thank you very much in advance!