Auto merge of #101303 - jyn514:jnelson/handle-cycle-enum, r=cjgillot

Make `HandleCycleError` an enum instead of a macro-generated closure

Helps with rust-lang/rust#96524. Based on rust-lang/rust#100943 to avoid merge conflicts, so it looks larger than it is (only the last commit is relevant).

cc https://rust-lang.zulipchat.com/#narrow/stream/241847-t-compiler.2Fwg-incr-comp/topic/Moving.20.60Value.60.20to.20rustc_query_system.20.2396524

r? `@cjgillot`