We don't have weasels or mink in my area so I have limited knowledge there.
I would look at other options.
A hoop coop MIGHT be able to be made mink proof and if you decide chickens aren't for you it can be converted into a greenhouse fairly easily.. The article below has links to the top 10 hoop coops. It's worth looking at.
https://www.backyardchickens.com/articles/top-10-hoop-coop-ideas.76490/
I would look at other options.
A hoop coop MIGHT be able to be made mink proof and if you decide chickens aren't for you it can be converted into a greenhouse fairly easily.. The article below has links to the top 10 hoop coops. It's worth looking at.
https://www.backyardchickens.com/articles/top-10-hoop-coop-ideas.76490/