I looked up the zoning: permitted uses 26-391 too and I think you're allowed up to 24 and I think your city has certain zones where you are allowed to have farm animals like r-1 and r-a but this whole code was longer and confusing for me lol
Here's the 6-27 animal nuisance one, I looked it up for you and you can get introuble for your rooster just as they can get introuble for their dog if they "disturb anyone's peace and quiet"