I then screwed the MUM and disassembled. That went with the appropriate bit set, which I had bought some years ago in ALDI, easy (neither cross nor slot; otherwise ask again at the hardware store).
When I had the case gone, I could see that the spur gear, which is made of white plastic, had almost no teeth.
Milled away from hard gingerbread ;-)
The drive shaft of the motor is made of metal. But better the spur of plastic is broken when the shaft of the motor.
The exchange is super simple. Everything fit as the original.
The assembling of the case I found extremely tedious. The towing hook of Drehscahlters has posted repeatedly. At some point it has then it worked.
Behold - all good again!
The part is running again, like the first day.