If you can change the layout of the powder room and make it a little narrower, so that the left hand wall of the laundry room continues straight to the outside wall, you could have the machines, sink, and counterspace along that wall. Then the dryer can vent directly outside. And you have room for cabinets, or hooks for cleaning tools, on the wall opposite the machines.

The chute can stay where it is, with laundry falling into a hamper.

This idea, though, would require a change to the windows, especially the powder room. Will the elevations allow for that kind of change?

How will your dryer be vented to the outside?

Get rid of the barn door.

Chute. Laundry shoots are done with a gun or a camera.