Marble floor needs to be re-polished to avoid the door touching to the floor
Apply silicone sealant all around the glass panel to sauna room in order to avoid water leaking through the underneath the glass panel to the hall.
Repair damaged wallpaper by wetness in wall due to condensation.
Replace defective weatherstrip to door to prevent ingress of air through the gap betwen door and door frame.
I can't figure out how polishing the floor will prevent the door touching it.