I would recommend wrapping your run with hardware cloth if you'll be leaving them out (I would do it no matter what, but definitely at night). The openings in the Omlet runs are large enough for raccoon hands.
The heat is even worse during the day in an Omlet, so I recommend locking them out of the coop during the day (and then opening up the egg and back doors all day to keep it from getting as hot), and having them lay in the run (like in a cat litter box). Maybe put their nesting box close to the front so it's easier for you to collect the eggs. I cannot keep mine cool during the day so I just don't let them in there.
This also frees up the entire Coop for more space for them to spread out. Just take out the divider. I even took out the bars and added wood perches, which mine much prefer (and it's easier to clean!). Photo below is before I realized I could ditch the grey bars.
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You can also replace the 3 grey angled vents with HWC cloth covers (just cut the HWC to size, and the use the provided screws with washers over them). This will improve air flow a LOT.
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Also, the child proofing door knob covers shown above work great for extra protection from raccoons opening up either the back or egg doors.
The ventilation is actually not too bad, but hard to see from the photos - I've monitored mine very closely with humidity sensors and it's never once been higher than the outside air.
However the claims about "cool in the summer and warm in the winter" ... total garbage.