Prefer sharps or flats setting resets when file is closed or when part files are opened

Issue type

Engraving bug (incorrect score rendering)

Description with steps to reproduce

1. Create score with Alto and Bari sax
2. Set concert key signature to E Major
3. Set Prefer flat/sharp setting to prefer sharps
4. Open individual part files
5. Observe that the key signature has changed along with the Prefer sharp/flat setting going back to flat (Should remain C# Major and setting should remain to prefer sharps)
6. Save the score and reopen it
7. Observe how the Prefer sharp/flat setting resets back to prefer flats (Setting should stay as prefer sharps)

Supporting files, videos and screenshots

https://github.com/user-attachments/assets/2b827c67-4adb-4e66-ab38-a4f3c38ac4fe

What is the latest version of MuseScore Studio where this issue is present?

4.4

Regression

No.

Operating system

macOS 15.0.1

Additional context

May be the same as this issue:
https://github.com/musescore/MuseScore/issues/18655

Checklist

• This report follows the guidelines for reporting bugs and issues
• I have verified that this issue has not been logged before, by searching the issue tracker for similar issues
• I have attached all requested files and information to this report
• I have attempted to identify the root problem as concisely as possible, and have used minimal reproducible examples where possible