Tire Ascona B and ATS star 7Jx13 H2 ET20 type 7036

Hello! I am looking for new tyres. At the moment I still have 205/60 R13 (too old!) on my Ascona B (freshly bought). If I understand the ATS parts report correctly, should I not drive it without broadening??? (“A sufficient coverage of the tyre treads on axle 1 is to be produced by mounting parts or other suitable measures.” No idea why the TÜV did not object to this??? Now to the point, I would like to now with all year round tyres Since the Ascona can be very difficult to rank, I have considered whether it does not also do narrow tires and look good. Can someone recommend me a size? Or do other wheel/tire combinations look stupid? I also play with the thought of a 4cm lowering but without new shock absorbers, because it is already hard enough for me. But supposed to work. Gruss, Bob