Hello,
Is it this program:
Jump to Day 1 First…do you have a pullup bar? If you want to easily challenge yourself daily–get that piece of gear! If you need an easier start, try our Beginners workout here. If your pullups have plateaued, try the Advanced workout here. If you’re a lady, you’ll find the Armstrong for Women...
armstrongpullupprogram.com
Usually, I am more a proponent of the long term and recovery. As a drawback it can makes me too cautious.
I would stick to sets of 3 to avoid overtraining and injury. Doing so, you may perform the program with a few reps in the tank. That way I would be sure to finish.
At the end of the program, you can reassess and start again.
Other super routines like 5/3/1 use this principle of starting with a volontarily "low" % of 1RM. People doing them still gain a lot of strength.
Kind regards,
Pet'