I SUGGEST 3 SETS OF 1 REPETITION MAYBE EVEN JUST 1 SET IS ENOUGH
Trust me that for one arm pull ups you dont need volume?
Let's say that your actual weighted pull up is something like 40% of your total body weight but added to you. Kinda impressive but still beginner.
As a beginner you are expected to progress fast, incredibly fast. In 5 or 6 months ...