Now our question is, how binding is this for the building authority?
The land use plan is the preparatory land-use plan (see Building Code, Section 2), the development plan is the binding land-use plan (see Building Code, Section 3). Without a development plan there is no binding planning law.
However, the attached picture clearly shows that a part of the designated parcel is intended as a building area in the land use plan
From the picture it is clearly visible that this is not an excerpt from a land use plan, but an excerpt from the cadastral map. The coloring is typical ALKIS (Official Real Estate Cadastre Information System) and represents the actual use. No building or planning law conclusions can be drawn from it.
baufenster (is this the correct term here
No. Baufenster means the buildable area of the property specified in the development plan.
Unfortunately, the building authority is currently difficult to reach by phone
Depending on the administrative structure of your municipality, there may also be a planning office. That would be your first point of contact.
formal preliminary building inquiry
Good idea!
is it possible to do it very minimalistic
Yes.
without a concrete building plan or drawing or so
After skimming through your state building code (BbgBO), unlike in NRW, you apparently need a person authorized to submit building applications in any case. The following explanations apply to NRW. To what extent this can be transferred to BB, you should clarify with the building authority.
A concrete building plan is not required, but a site plan is. Your map excerpt is already quite good. If the path located to the east is not publicly dedicated (ask the municipality in charge), the street to the north should be shown. In this case, you should find out whether the owner of an adjacent property might grant you a building servitude for access. To clarify, you should also sketch a possible building body (rectangle scaled 10m*14m) with a reference that location and dimensions are not subject of the preliminary inquiry, but only the fundamental buildability with a single-family house (or whatever you plan).