Aside from whether it is legal or not, does it bother you?
Yes, it bothers me quite a bit. The plots here are all roughly between about 500-800 sqm, which means, of course, you notice a lot from your neighbors. The new neighbor has his 3m-deep terrace (that is the distance from his house to ours, and there is no more space on the property except for the driveway and garage) directly adjacent to our property. In addition, there is a large structure that casts a shadow and from which the new neighbor looks into our garden from his windows. Aside from that, I find the planned building visually unattractive (of course subjective), but objectively it doesn't fit with the existing buildings at all.
The old house will probably stand on its own plot, the new house on a newly separated plot.
No, the plot is apparently not going to be divided. Instead, the new construction is to be done as a partial annex to several house walls (everything is very convoluted).
Regarding the setback of a shed roof, my calculation of 3.80 m for a shed roof with a high side facing me seems to be correct. However, this is probably overridden by the special provision that buildings of building class 1 only need 3m distance if they are not higher than 7m (and here the height of the topmost floor probably counts).
Regarding the floor area ratio: I understood it to mean that secondary areas can be exceeded by up to 50%. Here, with a floor area ratio of 0.4, up to 0.6 would be allowed. I am sure that this 0.6 will not be observed given what the neighbor plans/has already built. However, it is possible if the neighbor waives parts of his buildings that do not belong to the residential house. Since I do not want to start a neighborhood war over garden sheds and terraces, I will not take any action here. But purely out of interest I would like to know whether something like this is ever checked by anyone?
One more thing surprised me: The garage of the new neighbor is completely outside the building window according to the development plan. Nothing was built along this line in the entire street. I always thought that garages, like houses, had to lie within these lines – was I wrong?
Nevertheless, I also know how difficult it currently is for young people to build/buy and I basically wish everyone well! However, the way I have been treated so far as a neighbor made me suspicious, and the construction project seems totally unrealistic to me as a layperson at first glance.