✅(backend) fix flaky test in user search api

Make sure the full is never John for the first user in order to make
sure we always have only 2 users (as the search is performed on both the
email and the full name).
    
Fixes #1765
    
Signed-off-by: Anto59290 <antonin59290@hotmail.com>

CHANGELOG.md

@@ -11,6 +11,10 @@ and this project adheres to
 - ✨(backend) add documents/all endpoint with descendants #1553
 - ✅(export) add PDF regression tests #1762
 
+### Fixed 
+
+- ✅(backend) reduce flakiness on backend test #1769
+
 ## [4.3.0] - 2026-01-05
 
 ### Added

src/backend/core/tests/test_api_users.py

@@ -311,7 +311,7 @@ def test_api_users_list_query_short_queries():
     """
     Queries shorter than 5 characters should return an empty result set.
     """
-    user = factories.UserFactory(email="paul@example.com")
+    user = factories.UserFactory(email="paul@example.com", full_name="Paul")
     client = APIClient()
     client.force_login(user)