New idea for a "serious" variant that would be large enough.
Simply extend the roof downwards, which automatically determines the size of the conservatory on the ground floor. Make the room usable on the upper floor by adding a dormer.

Section at 1.8 m height. If needed, a corridor could be separated from the bedroom (top middle of the plan) to access the new room.
Without the corridor, it would only be the study; with the corridor, a guest room or additional children's room can be created if needed, without having a walk-through room.
S

The size of the dormer/dormer roof angle and window arrangement/size is only exemplary and would require design optimization.