Both systems need their own resevoir.
If the car was sittng in traffic idling the power steering would not have any oil moving past the steering box (or mover as you show it) this means the fan wouldn't get any oil.
Supply the fan from a resevoir and loop the return (after the cooler) to that resevoir.
With the power steering run from a resevoir to power steering pump then to the steering box and back to the resevoir. With your ambient temps I would run a cooling loop on the steering as well. I added one to my car as it gets a little warm over here.
Don't forget you need the fan ECU to control the cooling fan.