New Starting Device with Run Capacitor

I am replacing a starter relay and overload for a Whirlpool GR2SHKXKB00. It attaches to the Embraco EGY 60HLP compressor. The new replacement part is 8201769 (AP3961332). The part that was originally on the fridge had a spot to connect the run capacitor WPW10662129 (AP 6023677). I have no issues connecting the overload and new PTC relay to the compressor but I am curious how or if i should connect a run capacitor to this somehow. There is no blue wire on this fridge because the run capacitor originally slid right into the overload/starter relay combination before. If I was to connect the run capacitor to the PTC relay the wiring diagram that came with the new parts shows it as optional and connected to the white wire’s terminal and the blue wire’s terminal (if it had a blue wire) of the PTC start relay. Should I figure out a way to connect the run capacitor and if so how, or shoukd I just leave it out?
I attached a picture of the original overload/relay with the run capacitor attached to the compressor and one of the replacement parts.

Here is a picture with the new start device and overload installed but with no run capacitor. I’m assuming I need to attach a second white wire to the female connector on the white post and then run a blue wire from the empty number 3 post and connect them both to the run capacitor?? Thanks for any advise in advance!