Auto merge of #61772 - alexcrichton:pr-and-master-builds, r=pietroalbini
ci: Enable toolstate tracking on Azure
Currently just run it through its paces but don't actually push to
official locations. Instead let's just push to a separate fork (mine) as
well as open issues in a separate fork (mine). Make sure that people
aren't pinged for these issues as well!
This should hopefully ensure that everything is working on Azure and
give us a chance to work through any issues that come up.
Fixes https://github.com/rust-lang/rust/issues/61790
Fixes https://github.com/rust-lang/rust/issues/61371