Definitely add some center ridge pole supports up and down the length of it. I saved these pics as educational materials from some locals who had these types of runs in our much much milder winters here in Northeastern Pennsylvania.
If that’s a typical pipe and chicken wire run from some place like Amazon or Wayfair, consider:
1.Bracing the hell out of it. It will collapse under a snow load of a couple inches.
2. Ditch the crappy chicken wire it came with and use hardware cloth. The chicken wire will keep chickens in but...