Get the reasoning for the development plan and try to understand what the urban planners wanted.
I have it available and it is from 2015. Unfortunately, as a layperson, I don't understand much. Unfortunately, I can't (yet) send you a PM.
My advice: leave the terrace out of the building application and build it without a permit after the building inspection.
What is the difference whether we include the permit-free 30 m² (7.50 meters wide and 4.00 meters deep) terrace in the building application or just build it later?
and don't forget the setback areas
You mean the 3 meters to the neighbor? We would keep that anyway, since the terrace is only planned to be built at the back.
A terrace roof because you don't feel like using sunshades?
Under a terrace roof you can leave the furniture and what is on it (more or less) outside throughout the year.
I also wonder why people build a house if they a) don't like sun, wind or similar.
Liking is a matter of opinion.