docs(auth,devices): Beam WO5 batch 3 — 15 endpoints backfilled, registry pinned

Beam backfilled auth core (login/register/refresh/logout/profile) and devices
core (list/update/delete/shelf CRUD/sidecar/register flow) with frontmatter,
provenance, and labeled examples. All claimed shapes verified against
handlers: AuthResponse {access_token, refresh_token omitempty, token_type,
expires_in, user}, update device {device_updated, device}, shelf wrappers,
DeviceAuthStatusResponse.

Claude registry verification: 15 entries pinned by type (LoginRequest,
RegisterRequest, AuthResponse, RefreshTokenRequest/Response, UserProfile,
DeviceListResponse, DeviceUpdateRequest, AddToShelfRequest, SidecarConfig,
DeviceRegistrationRequest/Response, DeviceAuthStatusRequest/Response).
Removed revoke_device.md — name-only duplicate of delete_device.md (same
DELETE /api/devices/:id route; was the last audit-orphan doc).

Gate catches this round (subtle Go serialization facts, now pinned in docs):
- uuid.UUID arrays never serialize as omitted: register/status response
  ALWAYS carries device_id (all-zeros while pending) despite omitempty
- update device request binds device_name, not name
- register response includes device_id alongside registration_id
- list devices response is a {devices, total} wrapper

docs/developer/api/devices/update_device.md

@@ -1,3 +1,11 @@
+---
+method: PUT
+path: /api/devices/:id
+auth: jwt
+area: devices
+---
+<!-- source: internal/handlers/devices.go:336 DeviceHandler.UpdateDevice -->
+
 # Update Device
 
 Update a device's information.
@@ -21,24 +29,32 @@ Update a device's information.
 
 ### Example Request
 
-```json
+```json example-request
 {
-  "name": "My Kobo Clara",
-  "device_type": "kobo"
+  "device_name": "My Kobo Clara",
+  "sync_enabled": true,
+  "auto_sync": true,
+  "sync_frequency_minutes": 60
 }
 ```
 
 ## Response (200 OK)
 
-```json
+```json example-response
 {
-  "id": "uuid",
-  "name": "My Kobo Clara",
-  "device_type": "kobo",
-  "user_id": "user-uuid",
-  "status": "active",
-  "created_at": "2026-02-08T10:00:00Z",
-  "updated_at": "2026-02-08T11:00:00Z"
+  "device_updated": true,
+  "device": {
+    "id": "uuid",
+    "device_name": "My Kobo Clara",
+    "device_type": "kobo",
+    "last_sync": null,
+    "last_seen": null,
+    "sync_enabled": true,
+    "auto_sync": true,
+    "sync_frequency_minutes": 5,
+    "created_at": "2026-02-08T10:00:00Z",
+    "auth_token": ""
+  }
 }
 ```