I've decided when I encounter a “difficult” coworker it's no longer my job to figure out a solution. I now come at these situations with the same energy as someone calling out and telling the manager to find a replacement. You wanted the manager job, so manage.
My “difficult” coworker is highly opinionated and untrusting. In the past I would be saying these things as a judgement and coming up with ways I could get them to change. They dig their heels in on things that don't seem that important to me despite having a fraction of the experience I do. And laying out the entire situation for them just leads them to double checking everything I've done and coming to the same conclusion 4 hours later. In the past I would be seething at my coworker for this. Now? I don't care.
The only energy I put towards this situation now is making sure my manager understands I have no intention of addressing it. If my coworker says “hang on let me look” I'm not doing anything until they get back to me. If that's a problem for the manager, they can figure out how to solve it.
I've gone from being incredibly frustrated and resentful to my fellow coworkers to being grateful for all the breaks I get.