Not all internal routing uses outer through the frame. Hello Giant. I lost the will on one of my Propels when swapping a groupset and left the last FD cable to the shop. They get a lot of practice. That bike is now rigged for TT duties with… eTAP TT. Fastest groupset swap I’ve ever done. Except the rear brake cable was a real pain.
Always use new brake cables, with a very sharp cut to remove teh MTB nipple and absolutely no kinking is my tip. Better still add superglue to the cable end to help prevent fraying. Slightest hint of fray – cut it off and start again. I found thread and a vaccum cleaner to be no use. Spoke jammed up the hole to divert the incoming cable worked for me.