iTunes doesn't see iPod Shuffle v4
iTunes v12.12.2.2 doesn't see iPod Shuffle v4, but Win 10 v21H2 sees it correctly, and shows the name assigned to the iPod. Apple Mobile and Bonjour services are running and Win 10 says the latest driver is installed.
With iPod connected via USB and green status LED, there's no Device icon next to Music in iTunes. When I put a CD into PC's drive, a disc icon appears, and as soon as I eject the disc, the icon disappears.
Diagnostics say:
iPod Support Service not installed
iTunes Helper not running
No iPod...found
How do I fix this?