@Susan-B the coop you have in mind can potentially work fine.
points to consider:
1. Would not recommend a rooster, keep it girls only. I know a rooster can help moderate hen behavior, but this is too small for a Randy rooster with some hens-might overmate them.
2. Keep an eye out for flock behavior, bc if you have a bully, you will need to address the issue. Many flocks are peaceful (overall), and get along ok. But, in a more confined area, you have to be ready to immediately address issues, so have a large dog crate handy to separate out The problem girl.
3. Put the setup in a shady area so they can always use all the space. The windward side, add clear panels so no blowing rain enter, or Excessive wind doesn’t keep them inside the coop.
4. Stick to regular sized or trim (like Mediterranean types) or bantam birds.
5. Plan for an extended run that is secure so the outside area for them is larger
my reasons:
1. you don’t live in a harsh climate. SE PA isn’t exactly bad winter weather or overly stormy. Just take care of blowing snow and rainy weather (using clear panels), along with all day shade for the heat of the summer.
2. I have “less than ideal” coop space. But I do have a large fenced run, and I do have visual interruptions and roosts (for day time) in the run. And my coop has A LOT of roost space bc we use ladder roosts. It works for us.
3. I went to a farm for a meeting, which was held in their barn. They had pigs in pens. They also had 6 white chickens (Leghorns? Rocks? Not sure) In a small TSC coop inside the barn. It is the most common TSC sold coop that pics get posted of -it is smaller than yours. The chickens were fine. Happy, healthy, no injuries, no blood spatter anywhere. The coop was on concrete with lots of shavings, near a human door so they got fresh sir snd some sun, but were protected from bad weather. Is this “ideal”? No, not according to some, but it seemed to work well for those people.
overall, you need to pay attention to flock dynamics. We have sold problematic birds when needed since our coop space is not overly large.