For me the address on Wikipedia times out with a 522 in exactly the same way. Bing's top result of the .party address works fine. I strongly suspect this is an ISP issue, but it is interesting that Google seems to have no knowledge of the .party domain.
Just tested over Tor and it works: piratebayztemzmv.onion
P.S. Yes, it's their new official "readable" onion site link.
Note that this is their official website, not just another fake Tor proxy
https://torrentfreak.com/the-pirate-bay-moves-to-a-brand-new...
Is the .party actual official website, or is it just a proxy too?
I'm curious if that's the case for you as well, or if it's my ISP blocking (I wouldn't expect to see the cloudflare error if my ISP was blocking but I don't know).
I bring this up because if the site is unresponsive from wherever you're searching (or perhaps unresponsive for all, idk) then maybe it got de-ranked on google.