Used car purchase Stonefall in condenser

Hello together, maybe someone can give me a piece of advice… In February I bought a young used car from a very large VW dealer in northern Germany, Golf 7. Before handover an inspection and new TÜV should be made. A few days after my purchase, the dealer declared insolvency. The car was delayed, but was finally handed over last week. On the return trip from the dealer to home, about 15km, actually already on the first kilometers, f When I then identified the air conditioning system as a sounder, I also noticed the lack of cooling, I asked an acquaintance for his assessment on the same day and immediately reported the defect to the dealer. A week later I got a workshop appointment, at which the rockfall in the capacitor was determined as a cause. Cost Punk t 850€, which does not pay the guarantee (which I can also understand). Nevertheless, I did not cause the damage. It was already available at handover. Of course, I checked the car for visible paint damage, glass damage etc.. However, I did not check the climate. Since I trusted in the guarantee and from stone strokes in the capacitor I honestly hear for the first time.. I requested in writing the transfer of the costs from the seller and wait jet Of course, I’m pissed off. Do I have any “right” or am I to blame for taking the car with me and now I can be understated that the stone fell on my way home? Does anyone know advice ?