Why does this site always captcha loop on my phone?

Apparently there are ongoing hostilities between the archive.* websites (archive.today, archive.is, archive.ph, etc.) and Cloudflare. Try changing your device's DNS settings to something other than Cloudflare (1.1.1.1) to access the archive.* website. For example, Google's DNS is at 8.8.8.8 and 8.8.4.4 . If your browser has DNS-over-HTTPS enabled, add an exception for the archive.* sites. (I believe Firefox has it on by default and I had to add exceptions for three or four of the archive.* sites to be able to use them).

Very helpful! Thank you. They are blocked in some localities as well (Italy...), I believe due to bureaucratic/legal issues.

If you're using Google DNS servers that seems to happen, I switched my phone back to the ISP DNS and it started working again.

It does that for me too from time to time. I wish I knew why.

I'd love to know too — I've never been able to use this site

temporarily deactivating blokada resolves the issue for me

That doesn't seem to have captured the relevant new bit, hidden behind a "Show more".