Replace the single merged get_user_playlists load with the two real
sources mirroring Tauri: Following = playlists the user follows but does
not own (get_user_playlists filtered owner.id != current_user_id);
Library = locally-favorited ids (SQLite get_favorite_playlist_ids) in
favorited order, intersected with the fetched set and falling back to a
single get_playlist for ids not present. Both map to the rich
SearchPlaylistItem (4-cover collage) via search::map_playlist/playlist_item,
replacing the single-cover PlaylistCard. derive_playlists picks the active
sub-tab source and applies the name|owner search filter; the 4-cover
artwork pipeline (FavPlaylistCover{following,index,slot}) fills the collage
and propagates into the search-filtered visible model. The tab badge now
counts the local Library set. Adds library_db::current_user_id.
cc