what to plant around my chicken run

THeres and urban permiculture doc that I saw but i cant rember the guy who did the special. I want to plant things around maybe vinning up the fence ect just for the birds to munch on. maybe some berrys. On the doc this guy plants wormwood, and a few other benificials in the chicke pen in tires with wire around them. So my question is what would be good to plant and my main issue is its extremly shaddy in the back corner of the yard where we ate putting the run. any suggestions on shade tollerant plants that the chicks would love.

Here's an abundant thread on perennial feed.
https://permies.com/t/997/chickens/perennial-chicken-feed

I'd suspect that in shade, you end up with plants that are energetically conservative and so minimize protein production in general, and so a focus for chicken forage would be developing a rich deep litter layer full of rotting organic matter that feeds bugs that are lovely packets of fatty protein. In a small system, chickens will rip up a small run pretty quick. As always, details about your home climate make suggestions more reliable.

EDIT - another thought... the post says the chickens are in the shady corner of the yard, what can I plant there? The broader question could be, I want to have chickens living in this habitat I am creating... what is the best way to integrate them? I have paddocks and a deep litter area, and am thinking of getting some electro fence, just so I can move my chickens around more. I have a food forest that is rich in insects and woody debris that might benefit from an annual chicken distrubance/manure input, maybe right before spring or fall seed germination. A lot of biomass moves through my chicken system, and chicken feed is a major system input, that trickles through their manure into other systems. Sorry to drag the question through the bushes...

No thank you so much for your thoughtful imput. I wish I had more room to move a chick tractor. I'm heading to check out that thread now. Thanks again