The point is to apply the transitions against a container that's inside of `ScreenFooterButton`, because the `ScreenFooterButton` drawable's position is being controlled by the flow container it's contained within, and we cannot apply the transitions on it directly.
Closes https://github.com/ppy/osu/issues/25426.
Different approach to prior ones, this just disables the relevant
actions when something related to save/export is going on. Still ends up
being convoluted because many things you wouldn't expect to touch save
do touch save, so it's not just a concern between export and save
specifically.