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If there is so wire left on that and you have the other end just use a butt connector to join the 2.
Or if where it connects to the switch is it threaded get a eye let end and a nut and bolt it on.
BTW on my T18 / NP435 the back up light switch plug was bad and could not be used so I made a Weather Pak plug work.
The back up light switch is just has 2 studs, not threaded.
Dave ----