fix: resolve calendar crash and enhance appointment management

- Fixed calendar crash due to invalid array length in PersianCalendar.tsx by changing locale to 'en-u-ca-persian'.
- Added Persian weekday display in DateNavigator with appropriate styling and logic.
- Updated empty slot message to indicate when a day is off.
- Made patient name a required field in appointment creation and implemented find-or-create logic for patients in both admin and user endpoints.
- Corrected mobile number display to show the patient's number instead of the doctor's in appointment listings.
- Ensured booked appointments are displayed correctly in the schedule view.
- Removed unnecessary operations column from the appointments table view.

docs/api/admin.md

@@ -497,7 +497,7 @@ List appointments filtered by date and/or doctor. Sorted by `slot_start ASC`.
 
 ### POST `/api/v1/admin/appointment`
 
-Create a new appointment for a patient identified by mobile number.
+Create a new appointment for a patient. If no user exists with the given mobile, a new user account is created automatically.
 
 **Permission:** `ROLE_ADMIN`
 
@@ -508,10 +508,13 @@ Create a new appointment for a patient identified by mobile number.
   "slot_start": 1718438400,
   "slot_end": 1718439600,
   "patient_mobile": "09123456789",
+  "patient_name": "علی محمدی",
   "note": "optional note"
 }
 ```
 
+> `patient_mobile` و `patient_name` هر دو اجباری هستند. اگر کاربری با این شماره موبایل نداشته باشیم، یک کاربر جدید با نقش `ROLE_USER` ساخته می‌شود.
+
 ### Response `201`
 ```json
 {
@@ -528,9 +531,8 @@ Create a new appointment for a patient identified by mobile number.
 ### Error Responses
 | Code | HTTP | Description |
 |------|------|-------------|
-| `VALIDATION` | 422 | Missing required fields |
+| `VALIDATION` | 422 | Missing required fields (doctor_uuid, slot_start, slot_end, patient_mobile, patient_name) |
 | `DOCTOR_NOT_FOUND` | 404 | Doctor UUID not found |
-| `USER_NOT_FOUND` | 404 | No user with that mobile number |
 | `SLOT_TAKEN` | 409 | Slot already booked |
 
 ---