Change Network Type for Adaptor (Public vs Private)

You can do it by PowerShell:

Set-NetConnectionProfile -Name Network -NetworkCategory Public

For those who stumble upon this, I believe the answer was provided by Huynh in How do I set my wireless network to be private instead of public?.

I can only say "I believe" because it took a reboot to get the expected result. But the reboot followed a few turns of a few different knobs, so I can't say for certain.

Its really unfortunate that Microsoft made recovering from a simple typo so difficult.