Link to Imgur for pictures with reference drawings: https://imgur.com/a/ETfCvZl
As title says, I'm trying to wire a new ceiling fan/light fixure. I currently have a 3 way switch that controls one switched outlet. I am pretty confident that my source power is running to the switch closest to the outlet.
My question is, is it possible to just run 12/2 wires from the outlet that is switched(half hot) directly to my new fan for power and a switch? I would rather not mess with rewiring the switch, and as long as the outlet stays on with my fan/light being on I would be content. I understand basic wiring, but I'm unsure of how to connect my wires from my ceiling box to this switched outlet.