Restructure step 4: local library and media identity

- L1 (core, offline): release names with kinds (episode, movie, extra:
  OP/ED/Opening/Ending/NC/PV/OVA…), folder hints (season and name from
  parentheticals, ranges), one show across folders, gaps and next with
  skipped numbers, junk ignored, stable keys.
- L2 (app, device-owned cache): AniList match with synonyms and
  sequel walking, episode mapping across cours (AnimeFlow runs when
  signed in), art and episode titles, "Wrong show?" pins per show or
  folder, episode offsets; lazy, spaced requests, works offline.
- Files tab as a library: poster cards, show pages with banner, gap
  prompt, extras, movies, Wrong show? and Episode numbers.
- media.ref produced for local files, Jellyfin (provider ids) and links,
  carried in swaps and Up next; receivers name media from it.
- Hosting relays each Jellyfin item through its own server's login.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

apps/desktop/lib/src/app/app_graph.dart

@@ -1,9 +1,13 @@
 import 'package:flutter/widgets.dart';
 
 import '../jellyfin/accounts.dart';
+import '../library/library_store.dart';
+import '../library/show_matcher.dart';
 import '../platform/app_log.dart' show appLogDir;
 import '../platform/desktop/desktop_ports.dart';
 import '../platform/ports/ports.dart';
+import '../schedule/anilist.dart';
+import '../schedule/animeflow.dart';
 import '../screens/home/health_probe.dart';
 import '../session/connection.dart' show Connection;
 import '../session/identity.dart' show ClientIdentity, Profile;
@@ -44,6 +48,9 @@ class AppGraph {
   /// Home (your server) or a friend's.
   final Navigation navigation;
 
+  /// The library's matches (L2): local shows to AniList, pins, offsets.
+  final ShowMatcher library;
+
   AppGraph._({
     required this.ports,
     required this.sfx,
@@ -53,6 +60,7 @@ class AppGraph {
     required this.forms,
     required this.yourServer,
     required this.navigation,
+    required this.library,
   });
 
   /// The desktop app's graph. Tests pass their own [ports], [identity]
@@ -63,6 +71,7 @@ class AppGraph {
     HealthGetter healthGet = defaultHealthGet,
     ServerStarter? serverStarter,
     JellyfinAccounts? jellyfin,
+    ShowMatcher? library,
   }) {
     final p = ports ?? desktopPorts();
     final sfx = SynthSfx(
@@ -81,6 +90,14 @@ class AppGraph {
     final connection = Connection(notify: notifier.notify, identity: identity ?? ClientIdentity.stored());
     final coordinator =
         SessionCoordinator(notifier: notifier, connection: connection, ytDlp: p.links, jellyfin: jellyfin);
+    // Device-owned: the library box; AnimeFlow's runs when signed in.
+    final matcher = library ??
+        ShowMatcher(
+          store: HiveLibraryStore(),
+          aniList: AniListClient(),
+          flow: AnimeFlowLookup(AnimeFlowClient.fromAccounts(coordinator.jellyfin)),
+        );
+    coordinator.fileRef = matcher.refForPath;
     final forms = ConnectStore();
     final yourServer = YourServer(
       forms: forms,
@@ -119,6 +136,7 @@ class AppGraph {
       forms: forms,
       yourServer: yourServer,
       navigation: navigation,
+      library: matcher,
     );
   }