crazy work from whoever at Alphabet is in charge of selecting domain names for their sites.

That's been Alphabet's site since the restructuring happened back in 2015. The site has barely changed in a decade.

from doc.new to blog.google, they are on top of that

Also they have got some cool ipv4 range like 8.8.8.8 too

(Edit I had confused it earlier with 1.1.1.1 which is from cloudflare)

After all these years, I still think that this was a wasted opportunity on Google's side. As is well-known, Google (Googol) is a constant: 10^100. Instead of Alphabet, they should have named the umbrella company AlephBet [1] with a tag line: "we stopped thinking in constants".

[1] https://en.wikipedia.org/wiki/Aleph_number