feat: Add Ombi request filtering and search

- Add request filters UI (type, status, sort, search)
- Implement dual-layer filtering (server + client)
- Add ombiFilters utility for consistent filtering logic
- Persist filter preferences in localStorage
- Add SSE support for real-time Ombi request updates
- Add webhook endpoints for Ombi integration
- Update OpenAPI spec for new endpoints
- Add unit tests for filter logic and UI
- Add integration tests for Ombi routes

server/openapi.yaml

@@ -218,6 +218,58 @@ components:
           description: Additional error details (dev-only)
           example: "Emby API returned 401"
 
+    OmbiRequest:
+      type: object
+      description: Normalised Ombi movie or TV request
+      properties:
+        id:
+          type: integer
+          example: 123
+        title:
+          type: string
+          example: "The Batman"
+        requestedDate:
+          type: string
+          format: date-time
+          nullable: true
+          example: "2026-05-21T10:00:00.000Z"
+        available:
+          type: boolean
+          example: false
+        approved:
+          type: boolean
+          example: true
+        denied:
+          type: boolean
+          example: false
+        requested:
+          type: boolean
+          example: true
+        deniedReason:
+          type: string
+          nullable: true
+          example: "Already on Plex"
+        theMovieDbId:
+          type: integer
+          nullable: true
+          example: 414906
+        year:
+          type: integer
+          nullable: true
+          example: 2022
+        quality:
+          type: string
+          nullable: true
+          example: "1080p"
+        requestedUser:
+          type: object
+          nullable: true
+        mediaType:
+          type: string
+          enum: [movie, tv]
+          description: Injected by Sofarr to distinguish movies from TV
+          example: "movie"
+
     BlocklistSearchRequest:
       type: object
       required: