Add CI checks to ensure quasi-duplicate APIs stay synchronized

[alice-i-cecile]

          With #9686 merged too, I wonder if there's a way we could automatically check or enforce that all of the methods and docs are kept in sync 🤔 A trait won't work, both because of ergonomics / discoverability, and because `QueryState` needs a `World`. We could use some horrible macro, but that hurts code readability. Maybe a CI check? I guess that's a question for another PR though.

Originally posted by @alice-i-cecile in #9774 (comment)

[alice-i-cecile]

In addition to the listed Query methods, we would also want this for the EntityMut family of types, and the doc comments for many of our closely related bundles. I'm sure I've missed some, so feel free to chime in.