They also need good air circulation.I don't lock them in the coop ever just the coop run combo and we have a shaded backyard
Is there a predator apron on the "run"?
How do you plan on cleaning out the "run"?
The entire setup just looks temporary to me, too small for the number of birds you have and very difficult to maintain in the long term.
You can give it a try and see how things go for you and them.