It is generally not a good idea to try to work so close to your 1 rep max consistently. Testing your max every 6-8 weeks is a good rule of thumb. Here are a some things you could try:
You may want to add band assistance to your low rep ranges.
Perform eccentric-only (i.e. the lowering phase of the pull-up) with greater than 1 RM loads.
Do 3-7 sets of 2 with your 3 RM.
Do a 3 rep pyramid.
Find a weight where you could perform 3 sets of 6-7 reps and add that to your program on days when you’re not doing higher intensity.
The nervous system thrives on variety.
Hope this helps. Let me know if you have questions.