Using WebSockets Client + WebServer module in the same program causes error "This socket is closed"

Just curious if there's a fundamental reason this isn't working. If I disable the WebServer that is served over an AccessPoint, the WebSocket transmission is successful. If I delay the initiation of the WebServer and AccessPoint, the WebSocket transmission is successful all the way up until the WebServer and AccessPoint are created.

The main goal is to accept data from a non-Espruino device (plain Arduino) via an HTTP request to the WebServer on the Espruino board, and then relay that data via WebSockets to the remote server. I'm not sure if this is the best way of achieving this, any guidance is appreciated.