Hello.
Recently I discoverd that my pc (desktop) hasen't been updated since mid october for some reason. I tried to update it and I got the 0x80080005 error.
Looking it up brought me to this page which has a solution:
And I tried it twice and it didn't work. from what I remember - while trying to stop wuauserv and msiserver it would say that the services aren't running so there's nothing to be stopped.
I tried running the troubleshooter as well and it didn't help.
Windows 10 home 1903.
Please try using Windows Update Assitant which will force update and install all updates in once go bringing your computer to the latest version.
1st link is the Direct Download link and the 2nd is where youbble be able to locate the 1st link:
https://go.microsoft.com/fwlink/?LinkID=799445
https://www.microsoft.com/en-gb/software-download/windows10
Let me know how it goes