StartOS may be missing a necessary driver for that machine. Keep in mind that StartOS is designed for, and only tested by us on machines that we sell. If you get the 5060 to work, please report it here.
If you’re willing to experiment, you might try some of the hacks others have done to get unsupported machines to work. Since your issues seems to revolve around a missing network driver, you might try a USB to Etherenet adapter.