OK, it seems that your BLOWER MOTOR is shot.

Buy a new one @Audi. Part number. Part number is 443959101. Cost in Germany 106 Euros.

Or, you can repair this for mext to no money (it`s just the carbon brushes that need to be replaced, and these cost a few cents)
There`s a howto in the FAQ, and quite a few experiences in the German Forum (this one for example)
I would strongly advise to refrain from putting a used part in there, as it is a five-hour work to rip everything apart because this damn thing is a PITA to get at and with used parts you might have to do it again very soon.... See attached pic for details.
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