This reverts a portion of https://github.com/ppy/osu/pull/9539.
The rearrangement in `SongSelect` is required to get the initial filter
into `BeatmapCarousel` (and avoid the `FilterChanged` event firing,
causing a delayed/scheduled filter application).
It is generally not possible to click a button that's not yet there,
and it turns out that when the test in question is ran headless, it may
not necessarily be there immediately.
Carousel would only expire items when off-screen. This meant that for a
case (like a test) where items are generally always on-screen,
`UpdateBeatmapSet` calls would result in panels remaining hidden but not
cleaned up.
