Your opinion on the floor plan for the ground floor

This should fit, right? What else should be considered?

You seem to be one of the few homeowners whose terrace doors open outward.
Did you change anything about the stairs? Unfortunately, I can't exactly see the measurement, but in my opinion, it is still a steep staircase. The entire floor plan depends on the stairs.
I miss an entrance door and windows on the bottom and right side.
Exterior views without the upper floor cannot be evaluated.
Routing paths cannot be assessed without the upper floor. Is the upper bathroom accessed via the utility room or the lower bathroom?

The floor plan does not get any better! Having to open two doors to get into the kitchen is one too many. I thought this was about a standard house type and the adjustment of a few walls on the ground floor since the developer is somewhat incompetent in that regard. Now it turns out that it is about a free design, extending something here, simply adding a bay window there. With 180 sqm of planned living space, quite a bit can be done, but here they fiddle around as if on a "very limited" space (e.g. 120 sqm for 4 people) everything optimal has to be achieved. I don't understand why someone plans generously (in my understanding that's 180 sqm), but, for example, plans a storage room under the stairs. A staircase can be a design element of the whole house if you have space available. If storage options are needed, for example, a wall with built-in cupboards can be planned for the utility room in the hallway, which then looks not cramped but elegant. Many things here are completely oversized, and no thought is given to load-bearing capacity. Everything is just a bit bigger and will cost a lot without gaining any real added value. Basically, the planning must include all floors, as well as the north-oriented plot with the location of the street, and the exterior views.

The floor plan does not get any better! Having to open two doors to get to the kitchen is one too many. I thought this was about a model house and the adjustment of a few walls on the ground floor, as the developer is somewhat incompetent in that regard. Now it turns out that it's about a custom design, sometimes extending something here, simply adding a bay window there. With 180 sqm of planned living space, quite a lot can be done, but here it’s all fiddling around as if you have to get everything optimal in very limited space (e.g. 120 sqm for 4 people). I don’t understand why one plans generously (to me that is 180 sqm) but, for example, plans a storage room under the stairs. A staircase can be a design element of the whole house if you have space available. If you need storage options, you can, for example, plan a wall with built-in cabinets in the hallway for the utility room; that then doesn’t look cramped but refined. Many things here are completely oversized, with no considerations for load-bearing capacity. Everything is just a bit bigger and will cost a lot without providing any real added value. Fundamentally, the planning has to include all floors, as well as the north-oriented plot with the street location, and the exterior views.

One more thing, the living room/kitchen/terrace is oriented to the southwest

Apart from the staircase being too short...
Do you now have an architect or a developer who wants to sell you a loveless floor plan in a larger building?
If the client sets requirements, about 180 sqm, 3 people, and apparently the kitchen has already been purchased, then he should create an appropriate design for me. If this is the design, and you will be happy with it because the house is planned exactly around this kitchen (here at the expense of functionality), then that is fine. You are supposed to be happy living in it.
But here a large house is being stretched out by making it even bigger and more expensive with a bay window, and this creates open spaces that do not provide much living comfort. In my opinion, this is the wrong approach. The living-dining area lacks structure in my view.
Is the kitchen already purchased? It seems so to me. Otherwise, one would be more flexible with the layout, for example, the "technical block" with the tall cabinets could also be pushed to the exterior wall to access the kitchen from the hallway and to plan it opposite the entrance to the utility room. This knot (fixation to exactly this spot and exactly this way) naturally causes problems like your fundamental question about whether there should be 2 doors to the utility room or which ones.
For 5 sqm less floor area and without a bay window, you could definitely afford a good architect.
At 170 sqm for 3 people, ideas that come to mind include a guest room on the ground floor near the shower, this room could later be used by a child moving out, with a reading and living corner upstairs. A second utility room upstairs, a walk-in closet doesn’t have to be 10 sqm, a cloakroom niche in the hallway, staircase not at the entrance, spatial structures in the living and cooking area. And this is not about personal taste.

Ask yourself: who is supposed to use this shower and how? Naked or quickly running back upstairs past the front door with a towel, hoping the postman doesn’t ring?

Important are also the sightlines: what do I see when I stand in the entrance, does it invite me? Where do I look from my favorite armchair? Does my eye find restful points and/or "rooms" (living spaces) to look at? That is probably given in the kitchen, but not in the rest of the house. But that is just my opinion... and I don’t want to unsettle you just because I have higher expectations for my future home.

As already mentioned, everything stands and falls with the staircase. I have not seen a floor plan of the upper floor or did I overlook it? The ground floor, as ypg and musketier also wrote, does not make a homogeneous impression. I consider it unfortunate to use the utility room at the same time as a storage room for food. If both were separated, the utility room could also be used as a guest room if necessary (or are there always guests on board?) and this would create more space upstairs for children's and bedrooms. The bay window in the living room is "nice" to look at but actually unnecessary. Since it consists only of windows, it also does not provide any additional usable space. You should get a cost estimate with a somewhat valid plan, then you will see what is feasible/realistic/absolutely necessary and what is not.