Hi Shawn, welcome.
Can you take a picture of the front of your lathe showing the table. I suspect that it is of the metric pitches. The table inside the manual only shows SAE. Also it does not show where the 127T transposing gear is supposed to go in the change gear train - yet the parts list says the lathe has it.... something is a little odd here....
I think your lathe has a metric lead screw. Here is a picture from the page you posted. The “3” means 3.0mm pitch, the 30* is the pressure angle.
So the threading procedure you describe here
https://www.shopfloortalk.com/forums/showthread.php?t=52821 only works if you are threading in METRIC (if indeed the lathe has a metric lead screw).
Which would mean two things: a) the 127T transposing gear can not be in the drive train, and b) unless you have a complex metric thread dial, you need to engage at the same number all the time (there are multiple engagement points for metric, but it gets very complicated and the lathe needs a special dial - which yours does not seem have.).
Here is the threading dial of my METRIC Standard Modern 1340. Note the 5 different locations in which it can be mounted depending in the thread pitch (there are 5 gears on that dial). The chart on the bottom tells you which letter(s) on top can then be used to engage the lead screw at.
If you happen to have the 127T gear in the gear train, then you are attempting a SAE (imperial) thread. That automatically means you can not open the half nut (well, you can, but again, it gets very complicated...) at the end of the pass. You must leave them engaged and reverse the spindle to move the carriage to the starting point. Then take a new pass.
Hopefully you can follow my explanation. If not, just ask. Post pictures of your change gear set-up (preferably with gear teeth count) so we can see what needs to be done to make it work for you.