Single-family house design - approx. 160-170 sqm / Innovative pitched roof

If this door to the garage has to remain, then the second door in the pantry makes no sense at all...

I also want to be able to go directly from the kitchen into the pantry. We still want to swap the pantry and the cloakroom so that a small window can be installed in the pantry. Generally, from our point of view, the areas are too small. For example, a kitchen island with a cooktop and downdraft extractor becomes very, very cramped

I don’t think you have more storage space in this pantry than in 1-2 tall cabinets. You might as well skip those. If you leave out the walls, you can also extend the kitchen island lengthwise and have space for your downdraft extractor.

... the way you just last drew the pantry/wardrobe, there isn't even a 60 cm passage to the kitchen. This is getting more and more awkward.

You are planning a basement ... so why a pantry?

but if the "cap" goes through (then that would be a shed roof) I don't understand why all of Germany complains about picky building authorities

Not all of Germany complains about picky Austrian building authorities

Planners and builders get blinders on when it comes to cheating the development plan for aesthetic reasons, but don’t see how they mess up the house.

In times when "fame for ten minutes" is allowed to be a "goal," that’s little wonder. No matter what pain you inflict on yourself: the main thing is bang, bang, showing the building authority who's boss. After Bauhaus style comes now Bushido style, building as a totally badass bitch-battle with the building authority, you know, dude?

Haha, now I also know what that thing on the roof is for: that’s the exhaust noise reducer flap. L-stone was 2018, now blue neon tubes come under the floor slab *ROTFL*

The two doors to the pantry basically make it useless,

On the contrary, that’s how it should be: separate doors for the main course and dessert.

What would be your suggestion for the roof to achieve the best possible cube/flat roof character?
Offset shed roof running out to the south with a small lip to the north?
Hipped roof with high parapet without eaves?

As my previous comments subtly suggest, I lack understanding for the pubescent pogo. In this respect, I see a diametrical contradiction between the "best possible suggestion for the roof" and the "cube character" in the case of this plot. Follow the terrain, a gable roof doesn’t have to be symmetrical at the eaves, just as a small tip.

I believe no one would have thought that the pantry with two doors is actually a wardrobe + passageway + pantry.
It's always the same: a lot of space is drawn for living areas, while the utility rooms have to make do with just the necessary square meters, see guest shower bath, pantry, wardrobe, bathroom, and dressing room.
By the way, I see the wardrobe opposite the stairs. I’m probably not alone in that.

Honestly: everything new. Feel free to delete.
And reconsider the property because of the development plan.

Or ingenious minds even nest the EG/OG building structures with pitched roofs against each other – resulting in a bit of flat roof at the bottom as well. Search:

Schöner Wohnen - hillside house with stacked building structures.