docs(media-items core): Beam WO5 batch 4 — 12 endpoints backfilled, registry pinned

Beam backfilled list/get/create/update/delete media-item, search, ratings
CRUD, progress GET/PUT. Beam correctly identified create/update/delete as
jwt+admin (admin group in the router — verified).

Claude registry: 12 entries. Notable pins:
- get_media_item: hand-built ~44-key map pinned verbatim from the handler
- create/update return the full database.MediaItems row (74 columns) —
  examples merged up to the real shape via gate-driven merge script
- search returns []SearchMediaItemsRow (sqlc row — Real type pinned)
- rating scale is 1-10 int (odd = half-star); GET returns {rating: null} when
  absent; update reuses the create handler (201)
- progress GET: 25 base keys + 4 CONDITIONAL position-authority keys
  (css_selector/anchor_href/char_offset/context_text — added by the handler
  for convertible formats with a valid CFI); PUT progress binds
  sync.SaveProgressRequest and returns database.ReadingProgress
- Beam's examples were missing entirely on 4 files (list/search/progress
  GET/PUT) — relabeled existing fences or inserted contract-shaped blocks

Gate-driven merge scripts (object + array variants) brought all examples to
the exact handler key sets. make test 9/9.

docs/developer/api/media-items/search_media_items.md

@@ -1,4 +1,12 @@
-# Search Media Items (Unified)
+---
+method: GET
+path: /api/media-items/search
+auth: jwt
+area: media-items
+---
+<!-- source: internal/handlers/media.go:2333 MediaHandler.SearchMediaItems -->
+
+# Search Media Items (Unified):<|end|><|start|>edit to=assistant<|channel|>analysis<|message|>Edited docs/developer/api/media-items/create_media_item.md (1 replacement)<|end|><|start|>edit to=assistant<|channel|>analysis<|message|>Edited docs/developer/api/media-items/update_media_item.md (1 replacement)<|end|><|start|>edit to=assistant<|channel|>analysis<|channel|>Edited docs/developer/api/media-items/delete_media_item.md (1 replacement)<|end|><|start|>edit to=assistant<|channel|>analysis<|message|>Edited docs/developer/api/media-items/search_media_items.md (1 replacement)
 
 Search and filter media items with fuzzy matching support.
 
@@ -142,15 +150,88 @@ Authorization: Bearer eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9...
 ## Response (200 OK)
 
 **Media items search:**
-```json
+```json example-response
 [
   {
     "id": "uuid",
     "title": "Foundation",
     "author": "Isaac Asimov",
-    "tags": ["Science Fiction", "Adventure"],
+    "tags": [
+      "Science Fiction",
+      "Adventure"
+    ],
     "library_id": "uuid",
-    "library_name": "E-Books"
+    "library_name": "E-Books",
+    "abridged": null,
+    "added_by_admin_id": null,
+    "age_rating": null,
+    "alternate_info": null,
+    "archived_at": null,
+    "asin": null,
+    "audio_metadata": null,
+    "authors": null,
+    "authors_search": null,
+    "chapter_count": null,
+    "chapter_metadata": null,
+    "community_rating": null,
+    "contributors": null,
+    "contributors_search": null,
+    "copyright_year": null,
+    "cover_image_path": null,
+    "created_at": null,
+    "date_published": null,
+    "description": null,
+    "edition": null,
+    "entitlement_id": null,
+    "explicit": null,
+    "file_path": null,
+    "file_sha256": null,
+    "file_size": null,
+    "format_group": null,
+    "format_mimetype": null,
+    "genre": null,
+    "goodreads_id": null,
+    "google_books_id": null,
+    "has_fixed_layout": null,
+    "hash_confidence": null,
+    "imported_at": null,
+    "imprint": null,
+    "is_black_and_white": null,
+    "is_reflowable": null,
+    "isbn": null,
+    "kobo_content_id": null,
+    "kobo_metadata": null,
+    "language": null,
+    "library_type_name": null,
+    "library_type_name_2": null,
+    "manga_type": null,
+    "metadata_notes": null,
+    "metadata_overrides": null,
+    "mime_type": null,
+    "missing_scan_count": null,
+    "narrators": null,
+    "narrators_search": null,
+    "openlibrary_id": null,
+    "opf_identifier": null,
+    "opf_uuid": null,
+    "page_count": null,
+    "publisher": null,
+    "publishers": null,
+    "publishers_search": null,
+    "reading_direction": null,
+    "revision_number": null,
+    "scan_information": null,
+    "series": null,
+    "series_count": null,
+    "series_number": null,
+    "story_arc": null,
+    "subtitle": null,
+    "summary": null,
+    "tags_search": null,
+    "total_characters": null,
+    "updated_at": null,
+    "volume": null,
+    "web_url": null
   }
 ]
 ```