> a large coop
It's large compared to the average, but the longer we've had chickens the more we're convinced they thrive better when given appropriate space (anecdata about average age of our chickens vs all other people with chickens we know), leading me to think something like yours is still too small even for 2 chickens.
For us the minimum is now such that there's at least some of the gras/moss left throughout the year instead of the puddle of mud we used to get. Plus I'm not gonne lie: seeing their (and their ancestors) behavior 'in the wild' it feels morally/ethically better as well. Especially the younger ones are keen explorers: easy to see when let ranging free - they'll go in a radius of like 100m around their nest, but not much further than that. Apart from that one mandatory weirdo obviously.
The one I built was definitely too small on all accounts (coop space and run space).
For the second coop, we bought a pre-built shed that's about 8'x12' (much taller and roomier than the first), and even that is starting to feel too small for 13 chickens with all their various items. They have a much larger run now, but even that still feels like it might not be enough for them!