Help! Distangled insurance history

Servus, since I am now the lucky owner of a new used car (BMW), I have of course changed the insurance. I want to take over the insurance SFK of the old (Mondeo) because I want to sell the car. Now on Friday I approved the BMW with the new insurer, the Mondeo should remain approved until the sale for test drive, according to my new insurer up to 3 weeks no problem. Since the TÜV is due for the Mondeo, I am on Saturday then to the KÜS The windscreen is defective, several small stone blows. The examiner does not give me a badge, should first let the disc be fixed. Now my question: Can I still calculate the disk repair on the old insurance (which is not yet terminated or dissolved) or do I have to bite into the sour apple and pay myself? Side question (interest me only): Can I then cancel an insurance after repair? (doesn’t come into question for me there I want to sell the car) Thank you very much