How can I use Webflow CSS on other sites/apps?

I would like to use the CSS from my Webflow site on another application that lives on a different sub-domain. I noticed that Webflow creates a new hashed URL on every publish and I’m not able to keep the link tag in sync by simply copy/paste.

Is there another way to get access to the latests version of the CSS from my Webflow site? I’d like to mimic the design across my applications and keep the classes updated.