Hi Ethan,
The Any Chart widgets is running in the browser and only support Plotly JS which is java script.
So no support for python or Dash out of the box. You could look into the other chart widgets from the app store, but i can recall any of the supporting networks.
You could consider generating thing the chart by an external service to generate an image and show it in your app.
Alternative you have to develop an own widget that use a javascript chart library that supports network graphs