Try to find the point at which the first thread starts and mark the face of the job..
Bring the saddle forward by hand to set the tool against the mark and lock it temporarily.
Rotate the Leadscrew mandrel by hand, with a gear removed whilst gently trying to engage the half nuts
Hopefully, when the half nuts engage, it will be possible to refit the gear.
Once this is done, I would advance the tool into the work, but cleasr, before mbringing it out to engage the existing thread. The tool may ned to slacked in the toolpost to engage nthe thgread fully. Note nthe dial setting, move the tool inwards and back the Saddle out, without disengaging the half nuts. Return the Cross Slide to the dial setting and rotate the chuck by hand.
If you are lucky, the tool will follow mthe thread!
HTH
Howard