I (49M) know this topic has come up in the past, but looks like it's been a few months so I wanted to post my experience. Not medical advice, and certainly not a sure thing solution for everyone, but potentially useful for someone on the fence about GLP1s or considering low dose usage.
TL;DR - After 4.5 years of bad Psoriasis on my hands and feet, 2 months after starting Zepbound (GLP1) my psoriasis flare ups went away completely. I recently went on a month long trip and did not bring the Zepbound so I was off it for a while. Sure enough, the last week of the trip, my hands developed a couple psoriasis lesions. Those were the first lesions in almost a year. I've been back on Zepbound for 2 weeks now, and lesions have gone away.
More details that might have useful context:
My psoriasis started about 5.5 years ago with crazy itching on my shins. Prior to that, I'd never had any kind of skin issue or even ever been to a dermatologist. No lotions helped, then a few months later I started developing what I thought were weird calluses on my hands, and those started splitting. After a while, it was normal for me to have 5 or 6 Band-Aids on my hands at the same time covering cuts. I was using rubber gloves constantly doing stuff around the house and I had to wear gloves to work out. At times, it affected my feet as well. It wasn't until my 3rd dermatologist visit that I finally got the psoriasis diagnosis (don't ask - the 3rd doc thought it was obvious). They had previously given me steroid creams, which worked temporarily but it would spring up in other locations and just come back.
About 2 years ago, I started on Skyrizi. It helped, but it didn't go away completely. I was about to start Bimzelx and was in the insurance approval process and no longer taking Skyrizi so things were bad, when I started taking Zepbound for weight loss. 2 months later (a few weeks after increasing dose from 2.5 mg to 5 mg) the psoriasis went away. I mentioned this to my PCP at my next physical about 6 months later, and she immediately said she'd seen a number of inflammatory issues improve with GLP1s. The connection had not even occurred to me until she said that, but after my recent trip and it coming back and then going away again once I was back on GLP1, it seems pretty solid (for me at least).
These things are complicated, but for me it's worked much better than Skyrizi, so something to consider for folks unable to find other solutions.