Without having thought this through all too long now:
You could create a shaft planned below the chimney and run 2 thick risers through the floors there.
Ground floor: Hallway in front of the staircase, drop the ceiling down to the kitchen, vent the exhaust air there. Simply blow fresh air planned left into the living room.
Upper floor: Hallway in the staircase, drop the ceiling, vent the exhaust air planned left into the bathroom, fresh air in the hallway in a small distributor, from there planned below into children's room 2 and further through the wall into child 1. In child 2, create a boxed-in section under the ceiling in the corner. For example, this could be pulled over the entire wall height and an inset shelf made below the covered pipe, then it looks intentional ;-)
Edit: Of course, you could also simply blow the fresh air from the hallway over the doors into the rooms...
Attic: Drop the ceiling in the hallway area. Exhaust air planned below into the bathroom, fresh air distributor under the hallway ceiling and from there respectively over the doors into the 3 rooms.
Total effort: 6 core drillings through the ceilings, drop the ceiling in the hallway 3 times, clad the riser shaft in the hallway 2 times, all pipelines <5m