feat(offline): #427 S4a — Shuffle all + offline system-playlist gate

Headline of S4. "Shuffle all" is always present (home app-bar
shuffle icon); the pool degrades with reachability:
- online  → GET /api/library/shuffle?limit=N (new): N random
  library tracks server-side, per-user quarantine filtered
  (ListRandomTracksForUser, ORDER BY random()).
- offline → ShuffleSource shuffles the whole local cache index
  (audio_cache_index ∩ cached_tracks, names from cached_artists/
  albums) — a UNION over liked AND recently-played, since the
  two-bucket split is storage-only and never filters playback.

Offline gating: refreshable (singleton) system playlists need the
live build/shuffle endpoints, so their tile play is disabled when
offlineProvider is true — Shuffle all is the offline path. User
playlists still play from cache.

playlist_card now reads offlineProvider in build → wrapped the
direct-render widget test in ProviderScope (offlineProvider is
smoke-safe from S1: tracked timers, no connectivity mount).

S4b (offline Recently-played / Liked browsable surfaces over the
cache index) next.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

internal/api/api.go

@@ -74,6 +74,7 @@ func Mount(r chi.Router, pool *pgxpool.Pool, logger *slog.Logger, events *playev
 			authed.Get("/artists/{id}/tracks", h.handleGetArtistTracks)
 			authed.Get("/albums/{id}", h.handleGetAlbum)
 			authed.Get("/albums/{id}/cover", h.handleGetCover)
+			authed.Get("/library/shuffle", h.handleLibraryShuffle)
 			authed.Get("/library/albums", h.handleListLibraryAlbums)
 			authed.Get("/library/sync", h.handleLibrarySync)
 			authed.Get("/tracks/{id}", h.handleGetTrack)