feat(library): genre sliders, artist links, and navigation utils

- music landing: diverse per-genre album sliders (online counts /
  offline wide-probe fallback) and home-screen library shortcuts
- add ArtistLinks component and shared navigation/genreDiversity utils
- player/playback-mode refinements across Rust and frontend

src/lib/api/bindings.ts

@@ -1276,6 +1276,11 @@ async convertPercentToVolume(percent: number) : Promise<number> {
 /** user-defined events **/
 
 
+export const events = __makeEvents__<{
+playerStatusEvent: PlayerStatusEvent
+}>({
+playerStatusEvent: "player-status-event"
+})
 
 /** user-defined constants **/
 
@@ -1471,7 +1476,13 @@ export type DownloadsResponse = { downloads: DownloadInfo[]; stats: DownloadStat
 /**
  * Genre
  */
-export type Genre = { id: string; name: string }
+export type Genre = { id: string; name: string; 
+/**
+ * Number of albums tagged with this genre, when the backend can supply it
+ * (online only). Lets the frontend rank/pick genres without probing each
+ * one. `None` when unknown (e.g. offline).
+ */
+albumCount: number | null }
 /**
  * Request to get an image URL (with caching)
  */
@@ -1610,7 +1621,12 @@ export type PlayTracksContext = { type: "playlist"; playlistId: string; playlist
 /**
  * Request to play tracks by ID (backend fetches metadata)
  */
-export type PlayTracksRequest = { trackIds: string[]; startIndex: number; shuffle: boolean; context: PlayTracksContext }
+export type PlayTracksRequest = { trackIds: string[]; startIndex: number; shuffle: boolean; context: PlayTracksContext; 
+/**
+ * Position (seconds) to resume the starting track from. Used when taking
+ * over playback from a remote session so we don't restart from 0.
+ */
+startPosition?: number | null }
 /**
  * Playback information
  */
@@ -1791,6 +1807,67 @@ mergedIsPlaying: boolean;
  * Volume from either local player or remote session (0-1 normalized)
  */
 mergedVolume: number }
+/**
+ * Events emitted by the player backend to the frontend via Tauri events.
+ * 
+ * These are distinct from `PlayerEvent` in state.rs, which handles internal
+ * state machine transitions.
+ * 
+ * TRACES: UR-005, UR-019, UR-023, UR-026 | DR-001, DR-028, DR-047
+ */
+export type PlayerStatusEvent = 
+/**
+ * Playback position updated (emitted periodically during playback)
+ */
+{ type: "position_update"; position: number; duration: number } | 
+/**
+ * Player state changed
+ */
+{ type: "state_changed"; state: string; media_id: string | null } | 
+/**
+ * Media has finished loading and is ready to play
+ */
+{ type: "media_loaded"; duration: number } | 
+/**
+ * Playback has ended naturally (reached end of media)
+ */
+{ type: "playback_ended" } | 
+/**
+ * Buffering state changed
+ */
+{ type: "buffering"; percent: number } | 
+/**
+ * An error occurred during playback
+ */
+{ type: "error"; message: string; recoverable: boolean } | 
+/**
+ * Volume changed
+ */
+{ type: "volume_changed"; volume: number; muted: boolean } | 
+/**
+ * Sleep timer state changed
+ */
+{ type: "sleep_timer_changed"; mode: SleepTimerMode; remaining_seconds: number } | 
+/**
+ * Show next episode popup with countdown
+ */
+{ type: "show_next_episode_popup"; current_episode: MediaItem; next_episode: MediaItem; countdown_seconds: number; auto_advance: boolean } | 
+/**
+ * Countdown tick (emitted every second during autoplay countdown)
+ */
+{ type: "countdown_tick"; remaining_seconds: number } | 
+/**
+ * Queue changed (items added, removed, reordered, or playback mode changed)
+ */
+{ type: "queue_changed"; items: PlayerMediaItem[]; current_index: number | null; shuffle: boolean; repeat: RepeatMode; has_next: boolean; has_previous: boolean } | 
+/**
+ * Media session changed (activity context changed: Audio/Movie/TvShow/Idle)
+ */
+{ type: "session_changed"; session: MediaSessionType } | 
+/**
+ * Remote sessions updated (for cast/remote control UI)
+ */
+{ type: "sessions_updated"; sessions: SessionInfo[] }
 /**
  * Result of creating a playlist
  *