Thank you for the screenshots, your PC is not windows 11 compatible you will not be able to update using the normal methods, you have a 4th gen Intel processor and the minimum requirements for Windows 11 is an 8th gen processor.
This problem is a bug that is being reported by many people at the moment, open PowerShell as Administrator again, then run this command and press Enter, then restart your PC to apply the change.
New-Item -Path "HKCU:\Software\Policies\Microsoft\Windows\Explorer" -Force; Set-ItemProperty -Path "HKCU:\Software\Policies\Microsoft\Windows\Explorer" -Name "DisableSearchBoxSuggestions" -Value 1 -Type DWord -Force