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That's right, it enters at the top on the right hand side and exits on the bottom at the left hand side. Indeed, it does seem straightforward, especially in this case as I had the old inner brake cable still internally routed to use as a guide.
However with at least 45 minutes of trying, magnets out etc I still could not get that outer housing to find its way out the exit hole. The housing was Jagwire keb sl for what it's worth. Then re-tried the old cable again and it took a couple of minutes.
Kinesis GTD v3