Tyre change at Audi Quattro

Servus, I bought an Audi A4 3.0 TDI Quattro (BJ. 2006) 2 weeks ago. I am very satisfied with this only ever before I still need winter tyres. The first thing that surprised me was that I had negotiated with the dealer that I would get 2 tires that run off for free 2 new ones. Once again it was said that he had to replace all 4 because I would not be allowed to drive them otherwise. I thought it was ok because I had the 2 extra tyres. Now, however, when I decide which tyres I would like to wear in the winter, I would like to add a spare bike because the patching equipment including compressors which is included in the new cars does not give me much confidence, especially because I am often several hundred kilometers away from home and because I do not want to drive home with 60km as described on the patching equipment. Now to my question: Which solution do you think is the best. I thought I would buy m for my summer tires (235/45/17 Alu) an exactly the same spare tire. For the winter then 205er 16 inch on steel rim, and as for the summer tires here also an same spare wheel. The only thing bothers me here that this solution becomes quite expensive. Would it be recommended or is it even possible that I put on the same size as in the summer and buy as a replacement bike only an all-weather tire in this size? Do I really think that I am on my quat tro ONLY 4 is allowed to drive exactly the same tires or was there the information from the dealer wrong? It’s all about me if I have to change a “plate” and then can continue as before, without speed limitation as with the “fixed” tires. Thanks already for the answers