feat: Refactor StaffSession to remove user field and update related session handling

apps/mobile/packages/features/staff/home/lib/src/data/repositories/home_repository_impl.dart

@@ -76,7 +76,41 @@ class HomeRepositoryImpl
   @override
   Future<String?> getStaffName() async {
     final session = StaffSessionStore.instance.session;
-    return session?.staff?.name;
+
+    // If session data is available, return staff name immediately
+    if (session?.staff?.name != null) {
+      return session!.staff!.name;
+    }
+
+    // If session is not initialized, attempt to fetch staff data to populate session
+    return await _service.run(() async {
+      final staffId = await _service.getStaffId();
+      final response = await _service.connector
+          .getStaffById(id: staffId)
+          .execute();
+
+      if (response.data.staff == null) {
+        throw Exception('Staff data not found for ID: $staffId');
+      }
+
+      final staff = response.data.staff!;
+      final updatedSession = StaffSession(
+        staff: Staff(
+          id: staff.id,
+          authProviderId: staff.userId,
+          name: staff.fullName,
+          email: staff.email ?? '',
+          phone: staff.phone,
+          status: StaffStatus.completedProfile,
+          address: staff.addres,
+          avatar: staff.photoUrl,
+        ),
+        ownerId: session?.ownerId,
+      );
+      StaffSessionStore.instance.setSession(updatedSession);
+
+      return staff.fullName;
+    });
   }
 
   // Mappers specific to Home's Domain Entity 'Shift'