CloudFlare DNS was the issue. I had been using PiHole as well, but even turning it off wasn't fixing it. But when you mentioned 1.1.1.1 causing issues, I turned off WiFi and used the mobile phones data connection and it didn't even prompt once to prove I'm not a robot. Weird that it works like that. Thanks for the help though.

Edit: oo, for anyone interested, archive is the problem, not CloudFlare. Archive's authoritative dns purposely responds with invalid IP's to CloudFlare requests because CloudFlare doesnt leak user data along with the request. Archive refuses to resolve those requests. The owner's claim that it causes difficulty for per-country requirements doesn't pass the smell test because there are better ways to determine geographic location than DNS request. Makes me kinda not trust archive.today (and it's other TLDs). I think I'm gonna stick with web.archive.org only and just not view archive.today. sounds like they're collecting user data.