chicken safe plants

Hi all, I am new to posting to this forum but an active reader as I have found my best advice seems to come from this website! Quick question though -- Is fringed yellow loosestrife ok for chickens to eat? I have seen people post about the purple loosestrife or loosestrife plant in general...

My chickens have the run of my backyard in the San Fernando Valley of Los Angeles. It's hot and dry here, with terrible compacted clay soil that doesn't drain well, so gardening is a challenge. The one thing that grows really well is succulents, and I inherited a lot of them in the backyard...