This does the bulk of the remaining refactoring, except timers since
they are an even bigger part - but more isolated.
Bug: webrtc:15593
Change-Id: I7afa349e2119be7592797ee6b3b198e6de4f697a
Reviewed-on: https://webrtc-review.googlesource.com/c/src/+/326160
Commit-Queue: Victor Boivie <boivie@webrtc.org>
Reviewed-by: Florent Castelli <orphis@webrtc.org>
Cr-Commit-Position: refs/heads/main@{#41090}