Add admin/manager booking profile update API

docs/API_REFERENCE.txt

@@ -1879,6 +1879,56 @@ BOOKING APIS
   - 409 Conflict (booking closed)
 
 
+- Update booking profile API is this one:
+
+  POST /properties/{propertyId}/bookings/{bookingId}/profile
+
+  What it does:
+
+  - Updates booking profile fields at any booking stage (OPEN, CHECKED_IN, CHECKED_OUT, CANCELLED, NO_SHOW).
+  - Supports partial updates for these fields only:
+    - transportMode
+    - childCount
+    - maleCount
+    - femaleCount
+    - fromCity
+    - toCity
+    - memberRelation
+  - If a provided field value is null, that field is cleared.
+  - Recomputes adultCount and totalGuestCount when any of maleCount/femaleCount/childCount is updated.
+
+  Request body:
+
+  {
+    "transportMode": "CAR",
+    "childCount": 1,
+    "maleCount": 1,
+    "femaleCount": 1,
+    "fromCity": "Varanasi",
+    "toCity": "Lucknow",
+    "memberRelation": "SELF"
+  }
+
+  - Allowed roles: ADMIN, MANAGER
+  - superAdmin can also access.
+
+  Error Codes
+
+  - 400 Bad Request
+      - Invalid request body
+      - Unknown fields
+      - At least one field is required
+      - Unknown transport mode
+      - Transport mode disabled
+      - Unknown member relation
+      - childCount/maleCount/femaleCount must be integer or null
+      - childCount/maleCount/femaleCount must be >= 0
+      - fromCity/toCity/memberRelation/transportMode type invalid
+  - 401 Unauthorized
+  - 403 Forbidden
+  - 404 Not Found
+
+
 - Booking check-out API is this one:
 
   POST /properties/{propertyId}/bookings/{bookingId}/check-out