Resolving VMWare Error “There are no un-bridged host network adapters” after Windows 10 Upgrade

After upgrading to Windows 10, all of my VMWare Professional v10.x guest machines lost their connection to the network. Taking a look at their network connections, I found that I’d lost the default vmnet0 network, and trying to add it back as a bridged network threw the error “There are no un-bridged host network adapters”.