**System Information**
Operating system: Windows-10-10.0.19043-SP0 64 Bits
Graphics card: Quadro RTX 3000 with Max-Q Design/PCIe/SSE2 NVIDIA Corporation 4.5.0 NVIDIA 512.78
**Blender Version**
Broken: version: 3.2.2, branch: master, commit date: 2022-08-02 18:15, hash: `rBbcfdb14560e7`
Worked: (newest version of Blender that worked as expected)
**Short description of error**
You're allowed to add a material to a mesh linked from another file without any issue, but once you save the file and open it again, the material assignment is gone.
It doesn't matter if you select an object level assigned material either (a menu that's only available after the initial selectioYou're allowed to add a material to an object that is linked and overridden from another file without any issue, but once you save the file and open it again, for some reason)the material assignment is gone.
AlsoIt doesn't matter if you select an object level assigned material either (a menu that's only available after the initial selection, there's no right-click context menu entry in the outliner for a "library override"for some reason).
**Exact steps for others to reproduce the error**
1. Link a mesh from another file and override it.
1. Link a mesh from another file (using the instance object option)
2. Assign an existing material to the mesh through the browse/search icon (and observe that you're allowed to without warning and it appears to work).
3. Save the file.
4. Close Blender and re-open the file.
Result:
The linked mesh object no longer has a material assigned to it.
Expected:
The material should remain!