Coop design and feedback on roost placement

[aart]

Should I leave the fan going that is blowing outside air through the coop to the opposite window? Or should it be reversed pulling air instead of pushing?

This is the best scenario, keeps all the coop dust from ending up on the fan.
Is only effective if the air outside the coop is cooler than inside,
and it's best to have the fan 'sealed' into the window.
I use a fan like that late in the day to help cool the coop.
https://www.backyardchickens.com/articles/window-fan-mount.75608/