The operator of archive.today et al has certain philosophical ideas about SSL, EDNS subnets, and other topics which seem to be at odds with some providers of DNS, such as Cloudflare. A common theme of folks having issues with this recently seems to be DNS over https, commonly with Cloudflare. I think perhaps we can view the captcha loop as somewhat retaliatory.
I have the same problem for weeks now. Different browsers, deleted cookies, different IP adresses did not make it work again.
Same. Per my sister comment all I’m doing is using Cloudflare Family for DNS.