Body Recomp Possible? 5/3/1

Hello Guys,
I’m new on here and I am exited to explore the 5/3/1 program.
I’m currently 19 181cm(5’11) tall& I weigh in at 186lbs atm.

I currently change my diet and came across the 5/3/1 Program. My goal is to increase my bench press max to around 75 Kg(165lbs).
I know that’s not massive of a goal, but I want to cut on this program to around 73 Kg bodyweight.

My current lifts ( Cycle 1, week 3)
50x3 reps Bench
27.5x2 OHP

Squats and deadlifts aren’t in this Programm because I need to improve my mobility& depth.

Greetings