Update `AutoReverseDiff{compile}`

[gdalle]

Goals

Adapt to the changes in

• Promote ReverseDiff compile field to type SciML/ADTypes.jl#63
• Document new type parameter for AutoReverseDiff SciML/ADTypes.jl#70

Steps

• Bump ADTypes compat to the latest
• In the DI extension for ReverseDiff, everywhere you see backend.compile with backend <: AutoReverseDiff, replace it with the compile from AutoReverseDiff{compile}

Assignees

@niklasschmitz