messaging_service.hh is a switchboard - it includes many things,
and many things include it. Therefore, changes in the things it
includes affect many translation units.
Reduce the dependencies by forward-declaring as much as possible.
This isn't pretty, but it reduces compile time and recompilations.
Other headers adjusted as needed so everything (including
`ninja dev-headers`) still compile.
Closes#10755
afc06f0017