Do you have a little metal (pref aluminum) cylinder? Could drill and tap a hole on either end of it and use socket head set screws to grab the cable. 4-40 screw should be plenty strong. Simple, strong, and elegant, but you’d need the tools

A quicker way could be just tie a knot. I doubt it would work but you could try, it’s probably what I would do just to see if it works.

I agree rerouting it seems like a *****

another option could be to get a nice zip tie, and use a lighter and a needle to poke two holes through it, tie the zip tie to itself. Thread the housing through the melted holes and then figure out how to make the end bunched up so it can’t fit back through the melted hole in the zip tie. One looped knot and some glue so the loop doesn’t slip out should work fine. The zip tie is acting like a shackle, it would probably hold honestly.