You are welcome. Sorry I couldn't get to the bottom of it as yet.
(1) Show us the info at "right-click START, System"...
(2) What update is failing to happen & what is the error message?
(3) Have you tried taking the update manually &/or a repair/upgrade?
(4) Did that SSD come with the computer or did you add it later,
& has it been taking updates well till now?
(5) Do you know how to make a Windows system image backup?
Well, here is how to do a repair/upgrade install. Make a Win 10 Installation USB drive here...
https://www.microsoft.com/en-us/software-download/windows10
Download Windows 10 -- currently, this is version 21H1
You download the MediaCreationTool21H1.exe, plug in an 8 GB/so USB drive, & double-click the tool to run. It will create bootable media that could be used to clean install Windows, if the repair-install is ineffective. But for the repair-install, just open the Installation USB drive in File Explorer, & click Setup.exe. It is a repair, if your computer is already 21H1; otherwise, it is an upgrade to 21H1. See your current version at "START, Settings, System, About". It should keep everything intact -- apps, files & settings.
If you get upgraded (& things seem worse), you may undo it at "START, Settings, Update & Security, Recovery, Get Started (under 'Go back to previous version of Windows 10'"...
But it lasts only 10 days. Also, it isn't available after a repair (just after an upgrade).
So -- make a Windows system image backup first. That lasts forever as a means to restore Windows to before the upgrade or repair. Want instructions? You should be doing that anyway.