feat(library): add media library browsing functionality

- Introduced new `library` module in the API routes to handle media library requests.
- Enhanced `AppState` to include a media provider for library interactions.
- Defined new `IMediaProvider` trait methods for listing collections, series, and genres.
- Implemented Jellyfin media provider methods for fetching collections and series.
- Added frontend components for selecting series and displaying filter previews.
- Created hooks for fetching collections, series, and genres from the library.
- Updated media filter to support series name and search term.
- Enhanced API client to handle new library-related endpoints.

k-tv-backend/api/src/main.rs

@@ -72,9 +72,20 @@ async fn main() -> anyhow::Result<()> {
     // Build media provider — Jellyfin if configured, no-op fallback otherwise.
     let media_provider: Arc<dyn IMediaProvider> = build_media_provider(&config);
 
-    let schedule_engine = ScheduleEngineService::new(media_provider, channel_repo, schedule_repo);
+    let schedule_engine = ScheduleEngineService::new(
+        Arc::clone(&media_provider),
+        channel_repo,
+        schedule_repo,
+    );
 
-    let state = AppState::new(user_service, channel_service, schedule_engine, config.clone()).await?;
+    let state = AppState::new(
+        user_service,
+        channel_service,
+        schedule_engine,
+        media_provider,
+        config.clone(),
+    )
+    .await?;
 
     let server_config = ServerConfig {
         cors_origins: config.cors_allowed_origins.clone(),