The situation is recoverable - just.
Iit looks like you used solid core wire - get rid of that too. You want very fine mulitcore flex. I cut up an old Centronics printer cable for this sort of thing - it's perfect

You won't be able to solder to the resistor element itself but there is enough of the tab left to make friction contacts. For this I would make a tiny clamp out of a couple bits of insulating board (paxolin) with something like M2 holes just beyond the width of the tape, then carefully scrape way the insulation from one side of the tape, lay this on one clamp piece insulated side down with a tiny dab of glue. Lay the bared wires on the strip and the other clamp piece on top, and bolt it together. Very fiddly, but I've done similar before.