Objectives are reliable electrical connection, but the question is how reliable do you want the mechanical connection? Is the pad on the flex cable intact? How much space is there for a strain relief technique? Anything will work if you then secure it in place with epoxy, I am worried about your proposal to use a wire raising the adjacent pads too high.
You can cut a small stripe of copper foil. Shape it as a 1cm long rectangular pad. Flip the flex connector to see the contacts and add a tiny tiny amount of solder on the equavalent pad on the connector. Add some flux in paste form to act as a gel which whould help you align the copper stripe. Hold the piece in place with pliers and heat it from the top. Allow to cool. Place on PCB and solder the ends of the flex to keep it in place, plus some more pads further inside. Allow to cool. Cut the copper stripe to length so as to reach the via. Place flux under it and quickly solder it on the via. Allow to cool. Quickly solder the remaining pads on the flex.
See attached. I doubt that the epoxy will cause signal degradation issues. Take a picture for our enjoyment

EDIT: The pad will not have enough surface area under it for self adhesive copper to be reliably mounted, it is the solder that will hold it in place. You could use that instead of flux paste for alignement, but you will burn the glue under the pad. It should have similar results. If you dont have copper tape, take a piece of thick solid core copper wire and hammer it flat. The use your wire cutters and cut a rectangle stripe.
Alex