Replying to myself here....My only comment is that if you do have the coop access inside the run fence, have your coop door swing towards the left/closer run wall versus swinging towards the open area of your run. The way you have it drawn, opening the coop door will block access to the run with a wheelbarrow, etc.... See what I mean in your drawing? With the door swung open, you would need to walk all the way counterclockwise around the coop to get to the run wall gate/the open area of the run.
Unless the swinging door you drew is not to scale and you could get between the run fence and the open coop door with a wheelbarrow. If so, ignore my entire comment....
Or ensure coop door can swing a full 180 degrees and lie flush with the side of the coop. Then you have plenty of room to access the coop.