Finally decided to post about it…
What good is Privacy Pass Using Privacy Pass with Cloudflare – Cloudflare Help Center if you have passes but the captcha page is still shown to you anyway?
My understanding is that privacy pass will re-use a captcha result to authenticate to more pages without filling out as many captchas. It does not remove them entirely.
When an internet challenge is solved correctly by a user, Privacy Pass will generate a number of random nonces that will be used as tokens.