Windows Update doesn't update - fails with error 80010108

I'm at wit's end.

I'm running Windows 7, and a few weeks back it just stopped installing updates. When I try to run Windows Update, it just stalls indefinitely until I cancel it.

The Update History says the automatic updates failed with error 80010108

I've tried the following:

1. Setting up a local update server (It was too complicated, and seemed like overkill).


2. Installing with Windows Stand Alone Updater -- just didn't work. It stalled on "checking the updates installed on this computer"


3. I tried updating Windows Defender - that too, stalls.


4. I tried installing Windows Update Agent 3.0 (I think). The install succeeded, but the updates still don't happen.

Nothing seems to work, and the computer just doesn't update.

Anything else I can try?