This will trigger a change even if nothing happens. But I think that's
okay (not easy to avoid) because the change handler should be aware that
nothing changed, if anything.
Closes https://github.com/ppy/osu/issues/24065.
By moving this to a central location, we can avoid invoking the
EditorChangeHandler when there is no selection made. This helps
alleviate the issue pointed out in
https://github.com/ppy/osu/issues/11901, but not fix it completely.