Dear cIient,
I present you three variants of solution where in three ways the space of the living room is resolved.
The first example is without a gallery and the workspace is positioned in the bedroom but is separated from the sleeping part by the wall, so that visually and spatially way represents a space for itself.
The other two solutions have galleries where the workspace and place for relaxation are located. One has a circular staircase and the other has a basic staircase, so you can choose the best solution based on your taste.
I hope you like it and I am open for any further explanations.