200m2 single-family house for 4-5 people without a basement on a narrow plot

As far as I know, it is usual that the 5m distance does not apply to carports, but only the 3m. However, maybe knows more exactly when he bothers to drop by here.

The building limit is exactly at 5m from the street. But then it is basically regulated twice for the closed garage, and you can't make sense of it for the carport...

Are your neighbors satisfied with it?

Regarding the south garden in front:
Yes, they are satisfied. However, I must also say that everyone built with a relaxed and life-affirming over-50 mindset and those topics that are endlessly discussed here in the forum were never an issue for them. Because paving is expensive, the driveway is as short as possible, strenuous statistical calculations to do it differently were avoided, and the terrace is simply meant to sit in front of the dining room and look from there and also from the dining room into the landscaped garden.
The “north terrace” only arose for many because they were surprised that the sun still comes there in the evening. And when I write north terrace, that is somewhat exaggerated, because for the half-hour sundowner two comfortable deck chairs on the lawn are enough. Or the bench. Unfortunately, our garage is exactly there (we have the S orientation), so during that time we take a walk around the “block.”
To avoid burning on the terrace, there are awnings. And certainly some may think about what could have been done differently, but no one regrets their house as it stands there.

The building limit is exactly 5m away from the street. But then it’s basically doubly regulated for the enclosed garage, and for the carport you won’t make sense of it...

Then you will probably have to comply with these 5 meters as well. It is usually the case that building on the boundary is not allowed in front towards the street, as the public impression with the 3 or 5 meters is supposed to be maintained. For us, it is only 3 meters, which the mentioned neighbors have exploited.

3 meters, however, are not enough for a visitor to squeeze behind the cars in the carport. One can stand crosswise, with two it looks tight… so 5 meters are optimal.
That would be 10 meters, and then it would already be too tight for a house on your side.

I would probably try to get used to a very slender floor plan with west orientation in your place. Did you specify a size for the building window?

And I would put the planning in the hands of an architect!

Then you will probably have to keep these 5 meters as well. It is usually the case that no border construction is allowed at the front to the street, as you want to maintain the public impression with the 3 or 5 meters.

Too bad. Well, maybe the building authority will still prove to be flexible, there is at least already a precedent in the old stock further along the street.

5 meters are therefore optimal. That would be 10 meters then, and it would already be too tight for a house at your place. I would probably try, in your position, to come to terms with a very slender floor plan with a west orientation. Did you give a measurement of the size of the building window? And I would put the planning in architects' hands!

The building window is 17 x 21 m in size. Plus twice 5 meters building boundary each to the north and south then give the 31 m length of the property. So your suggestion would be to put the garage directly east next to the house on the southern building line? Very slender floor plan? You're the one who points out with every room that it is a bit too tight (no offense).

And I would put the planning in architects' hands!

The current arrangement of house and garage was even the suggestion of an architect...

Garage southeast as far as possible and house in the east as far as possible

Means entrance in the south, but continuous garden from south over the wider west to north

North children's play area
Dining/relaxation west
Winter coffee in the south

Ground floor the living area then as I from north to south
Has the advantage in summer
North is never shaded and kitchen south - dining west alternate

You are wrong!
I am the one who adapts to the property and builds or plans accordingly

P.s. You are welcome to read all my posts, then you will know

How do you assess this, can the building authority prohibit it?

Yes, §23 Land Use Ordinance is only a "may" provision: (5) If nothing else is stipulated in the development plan, ancillary facilities in the sense of § 14 may be permitted on the non-buildable areas of the property. However, if no use is to be made of this, good reasons must exist.

Or is it possibly already clear according to the development plan?

If your quotes are complete in this regard, it is not clear. But there is also the Garage and Parking Space Ordinance – GaStellV: §2 Access and driveways (1) 1Between garages and public traffic areas, access and driveways of at least 3 m length must be provided. 2 Deviations may be permitted if there are no concerns due to the view of the public traffic area. So: Everything is possible, nothing is mandatory.