Oh, I hadn't seen that you were still editing.
It won't be possible without a setback area.
Actually, it probably will be. A setback area is not required if, according to planning law regulations, construction on the boundary is permitted, provided it is ensured that there is construction without setback on the neighboring property. On the neighboring property, construction has already been carried out without setback. Therefore, it is conceivable that the authority will be satisfied with the neighbor's consent. If not – since the neighbor could demolish before the construction project is completed – the security can also be provided by a building servitude (construction obligation).
And where should the setback area come from?
As a (poor) alternative, the transfer of the setback area to the neighboring property would indeed be possible, since the neighbor’s garage itself does not generate a setback area and is also permissible in other setback areas. It might be – which we do not know – that the neighbor’s residential building stands so close to the boundary that its setback areas overlap with those of the planned overheight garage. In that case, this possibility would indeed be ruled out.
It only works on your own property.
No, see §6 (2)
Explain in the building application that the deviation from the building code is requested only because of the appearance.
There is nothing to explain, since no deviation exists.