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Auto merge of #101303 - jyn514:jnelson/handle-cycle-enum, r=cjgillot
Make `HandleCycleError` an enum instead of a macro-generated closure
Helps with https://github.com/rust-lang/rust/issues/96524. Based on https://github.com/rust-lang/rust/pull/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`
