The KB5034441 update failing with the error code 0x80070643 is a known issue. The only way to fix the issue is by resizing the Recovery partition to 750 MB or more.
Here's the Microsoft page that describes the problem:
https://learn.microsoft.com/en-us/windows/relea...
Resolution
You may use Microsoft's PowerShell script to automatically extend the Recovery partition.
See:
- Extend the WinRE partition - Microsoft Learn
- How to Extend the Windows RE Partition Using PowerShell
(or)
To extend the partition manually, please do the following:
- Post a screenshot of the Disk Management window (maximized).
- From admin Command Prompt, run these commands:
- reagentc /info
- dir c:\windows\system32\recovery\ /a
- diskpart
- list disk
- sel disk 0
- list part
- list vol
Post the output or screenshot here.