Stick up cam wire

Hi, can I ask the best method to run the stick up cam 3rd gen ac adapter cable from an internal plug socket, through an external wall and out the cam? The plug is moulded on, the other end has the moulded Jack. The hole would have to be huge to accommodate this, but it seems the adapter doesn’t come apart to allow me to feed just the wire through. Has anyone had any luck with this? Thanks!