The manual is good, but it doesn’t actually tell you how to pull the outer through the chainstay. If you haven’t done anything like that before, or any electrical installations where you pull cables then its not obvious. The important thing is to first remove the plastic guide at the back of the chain stay (which the manual does mention TBF). You can use some strong tape to connect the cable outer to the piece of plastic that is already through the chainstay and carefully pull it through.
The problem is if you use too much tape it will be too big to pull it all through. If you dont use enough tape, it wont hold.
In the end I didn’t bother with the piece already through the chainstay, its not needed. I just inserted the outer into the chainstay, gently pushed it through and it pretty much came straight out the hole the other end. I think I used some tweezers to just help it through.
Hope this helps