I'm attempting to add a new receptacle to power a wall-mounted projector. The nearby existing receptacle from which I'm powering the new one is on an adjacent stud bay. I was planning to fish the cable through a hole in the stud at least 1'' from the wall surface. However, the stud appears to be very shallow and does not appear to have enough depth to achieve this.
What are my options? Should I route the cable through the brick wall? Put a blank face plate to cover the cable run over the stud instead of patching with drywall? Remove the metallic conduit and drill a small hole for the bare NM cable?