Looking at the posture of your birds, I think would be a go. You do have more space than I expected, but I would like to point out (as politely as possible) your run is boring. While the sides are very tall, you and your chickens are not making any use of that vertical space.
You could increase the chances of this going much better by adding a lot of clutter, pallets, ladders, sawhorses, roosts, small pieces of plywood. This creates places where birds can step out of sight, where you can place an extra feed bowl, out of sight of others, where birds can get away from each other. Flying up to a perch, gives them a bit of better exercise.
Right now, every bird can see every other bird 100% of the time. I would change that. Adding more clutter, actually even gives birds more space, as they can be under or on top of the same place.
Again, judging the posture of your birds, I would add the clutter and turn the new one out.
MRs K