Previously, the logging system was cleaned up in response to the
root context's ContextClosedEvent being received. This event is
published early in a context's close processing. As a result, the
logging system is in cleaned up state while, for example, disposable
beans are being destroyed.

This commit reworks the logic that triggers logging system clean up
to use a disposable bean instead. Disposable beans are called in
reverse-registration order. The logging clean up bean is registered as
early as possible so that it should be the last disposable bean to
be called.

Closes gh-11676