OK. Got it working again. I had to:
1.Remove the “Docker Desktop” key from the windows Registry under HKEY_LOCAL_MACHINE\SOFTWARE\Microsoft\Windows\CurrentVersion\Uninstall again.
2. Logged out, then into a local admin account.
3. Downloaded a fresh copy of Docker Desktop installer.
4. Ran the installer, which succeeded
5. Log out of local admin account and back into my domain account.
6. Started Docker Desktop, but it was taking a long time.
7. Click the Bug Icon on Docker Desktop and reset to factory settings.
8. Run Docker desktop, it should start.
Normally I’m not logged in as an Admin on my Work laptop. I’m not sure if the installer has a problem with that; it usually does not. Maybe because I messed something up before.