How many chickens will you be keeping & what kinds? Am I correctly understanding your plans, that you're not converting this deluxe shed into a coop, but want to build something to keep your chickens housed inside it? And they're going to be spending most of their time outdoors in a run, but this will be where they sleep at night? If so, I still don't think you need to build any sort of solid-walled house for them, but something like a rabbit hutch would do. You could make a simple frame from 2X2s or 2X4s and staple chicken wire or hardware cloth around it. If the shed is secure the chickens should be safe from predators and need little extra protection.
You will have to figure out what to do for their floor, if you want a raised wire one or if this will be on the concrete floor with some bedding. Chickens poop a lot overnight, and shed fleathers, fluff & dander, which will drift over anything else you store in that shed.
Also, where do you plan for your chickens to go in inclement weather, and to lay their eggs? Do you plan for them to have free access to their coop from their run?
And will they be enjoying a full-featured cable plan or have to make do with basic?