Error "AssetDatabase.SaveAssets are restricted during asset importing" is logged when assigning Icons to a Saved Search

Steps to reproduce:

1. Create a "Universal 3D" Project
2. Navigate to Window > Search > New Window
3. Search for "scene"
4. Save the Search via the button on the right of the text field and choose "User"
5. Right click the saved Search and select "Set Icon..." then wait for half a minute

Actual results: Errors logged in Console:
"[Worker6] Calls to "AssetDatabase.SaveAssets" are restricted during asset importing. 
UnityEngine.GUIUtility:ProcessEvent (int,intptr,bool&)"
"[Worker6] UnityException: Calls to "AssetDatabase.SaveAssets" are restricted during asset importing. 
UnityEditor.SceneTemplate.SceneTemplateAsset.UpdateDependencies () (at <161f3aa789ee48399db397dff282e25e>:0)"

Expected results: No Errors are present

Reproducible with versions: 6000.0.1f1, 6000.0.4f1

Not reproducible with versions: 2021.3.39f1, 2022.3.29f1, 2023.1.20f1, 2023.2.20f1, 6000.0.0f1

Tested on (OS): Windows 11 (reproducible), macOs Sonoma M1 (Not reproducible)

Notes:

• Reproduction seems to be available only when the Project is first created, this might be caused by how Searches are saved and the Asset previews are loaded