This commit changes how RestHandlers are registered with the
RestController so that a RestHandler no longer needs to register itself
with the RestController. Instead the RestHandler interface has new
methods which when called provide information about the routes
(method and path combinations) that are handled by the handler
including any deprecated and/or replaced combinations.
This change also makes the publication of RestHandlers safe since they
no longer publish a reference to themselves within their constructors.
Closes#51622
Co-authored-by: Jason Tedor <jason@tedor.me>
Backport of #51950
3edadfefd0