Mmm, let me think. That changes things. I believe that product will help but I'm not sure how to apply it, a spray bottle like you said, will work.
@MACCanadianCoop
For the poultry dust? I believe a lot of places carry it, even our walmart.
https://www.amazon.com/CHEMTECH-BC698321-Prozap-Garden-Poultry/dp/B001BM4JLM/ref=mp_s_a_1_4?crid=2GC928DAY57BB&keywords=poultry+dust+for+chickens&qid=1657399086&sprefix=poultry+dust%2Caps%2C593&sr=8-4
You can buy permrethrine for poultry. I'm not sure on that stuff. Skip the Diotomatious Earth, the electorpsp and oermrthrine is much more effective, and de causes respiratory system issues. It isn't safe for you or them to breathe. Try permrethrine poultry dust instead