Placement of the gutter / rain gutter

Hello dear experts/building owners…

I have a big problem with the placement of the gutter on the south side of our new building…

On the left side of the house there is a corner glazing on the ground floor and therefore (from my point of view) the drainage of rainwater is not possible….
What does it look like if a pipe runs past the corner glazing???

On the right side there is an extension with a flat roof on the ground floor… see attached photo!
According to the construction company, drainage is not possible here!!!
But it has to be possible somehow, right???
Can someone please help me here?

An internal drainage is also difficult! We are building with timber frame construction..

Thank you very much,
Veronika

Why can't a downpipe be installed directly at the left edge of the house (that is, in the middle of your picture)? The extension is next to, not in front of, the house, right?

So, the extension is the area with the wood cladding, it is directly in front of the house… The part with the door is the back of the recessed garage

Aha, do you have a floor plan of the [betreffenden Hausecke]?

You can also drain in the middle or offset from the middle depending on how it works or looks. I can't do much with just one picture.

In the middle, I actually didn’t want an ugly drainpipe ☹ And I’m currently having a bit of a hard time posting complete house views and floor plans publicly…. We really paid a lot of money for the plans Maybe something can be done with the excerpt? I would just like to drain either around the corner on the east side or via the extension….