To come back to the inquiry at the city: I made it based on the attached image. I had already drawn a possible building structure there.
This excerpt shows too little; for example, the actual building boundary is not recognizable in it.
basically, an additional buildability appears conceivable under planning law based on § 34 Baugesetzbuch.
... means exactly what I already wrote: 1. this is basically a residential building area; also in the projected area; >> building is allowed there; 2. how, how much, and whether the desired is possible would need to be examined more closely.
To obtain a legally binding statement, I refer to the application procedure for building inquiry
German translation: without a fee-based application, we do not use more documents for our response than the attached image. I maintain: 1. I do not see the floor area ratio utilization here significantly below that of the surroundings; 2. I consider the desired ground slab extension and position possible under the above restriction, but not optimally chosen in this form, hence my reference to the Aachen example; 3. if the building authority plays the map of the actual building boundary, I see no independent house in the red outlines, but perhaps six or eight meters of extension to the existing building possible. Development plans (alternatively insertion requirements) also serve to prevent everyone from putting a grown child’s house in the garden ;-)