Legally, I'm out. I would push the house back as far as possible without significantly touching the slope.
Do not connect the house with the monument.
Access to the slope is worth its weight in gold, especially since you still have a lot planned there.
If possible, build the house so that there are windows on 3 sides. In our case, 1.5 sides have no windows. Without windows, our building services are located there.
I would avoid the classic layout. Possibly living downstairs, 1 bathroom, parents' area (sleeping room does not need to be flooded with light), upstairs kitchen, dining, bathroom, children's rooms. If square meters are missing, then add the attic as in the example picture from you.