feat(representation): update representation deactivation logic and enhance API documentation

docs/api/admin.md

@@ -621,12 +621,30 @@ List all representations.
 | Param | Type | Required | Description |
 |-------|------|----------|-------------|
 | `page` | integer | ❌ | Default: 1 |
-| `limit` | integer | ❌ | Default: 20 |
-| `search` | string | ❌ | Search by name |
+| `limit` | integer | ❌ | Default: 15 |
+| `search` | string | ❌ | Search by name or mobile (representation's or linked user's) |
 | `city_id` | integer | ❌ | Filter by city |
 
 ### Response `200`
-Paginated representation list.
+Paginated representation list. Each item:
+```json
+{
+  "id": 3,
+  "uuid": "...",
+  "full_name": "حامد حسینی",
+  "mobile_number": "09120671756",
+  "city_id": 132,
+  "city": "یزد",
+  "commission_percent": 10.0,
+  "wallet_balance": 0,
+  "is_active": true,
+  "created_at": "2026-06-18T..."
+}
+```
+
+> `mobile_number` falls back to the linked user's mobile when the representation's own `mobile_number` column is empty.
+
+> **Deactivation, not deletion:** the admin panel deactivates a representation via `PATCH /api/v1/representation/{uuid}` with `{ "active": false }` rather than calling `DELETE`.
 
 ---