See this thread please (Rhino 8 - Importing Python 3 Libraries - #18 by Thomas_Dowse)
Python is failing to import the _socket module and it is throwing this error:
in <module>ImportError: dynamic module does not define module export function (PyInit__socket)
It is identical to the error message in the post that I shared above. This ususally happens when security policies on windows prevent Rhino from loading external libraries. Would you mind checking with your IT department on this?
On a related note, Python 3 tries to install pip from internet if it has access and if not it falls back on its own embedded pip. I will improve the install process
RH-80990 Try to install pip from embedded if get_pip fails