Some "bots" are legitimate. RSS is intended for machine consumption. You should not be blocking content intended for machine consumption because a machine is attempting to consume it. You should not expect a machine, consuming content intended for a machine, to do some sort of step to show they aren't a machine, because they are in fact a machine. There is a lot of content on the internet that is not used by humans, and so checking that humans are using it is an aggressive anti-pattern that ruins experiences for millions of people.
It's not that hard. If the content being requested is RSS (or Atom, or some other syndication format intended for consumption by software), just don't do bot checks, use other mechanisms like rate limiting if you must stop abuse.
As an example: would you put a captcha on robots.txt as well?
As other stories here can attest to, Cloudflare is slowly killing off independent publishing on the web through poor product management decisions and technology implementations, and the fix seems pretty simple.