For this Iron Banner I ended up using this loadout:
Oversoul Edict, Pocket Infinity, Jolder's Hammer. Got me to Rank 5 within 2-3 days.
I'm an auto rifle guy who used Vanquisher VIII as my primary for all the previous Iron Banners, but due to the recent AR nerf/PR buff, I had to search for different options. I tried Oversoul Edict, Bad Juju, and Red Death.
Surprisingly, I ended up choosing Oversoul Edict. I know RD has a faster TTK(time-to-kill) and Bad Juju is more stable, but Edict got the job done for me without using an exotic slot, which I ended up using for Pocket Infinity or Patience and Time.
For those who pick "Other", please comment below on which pulse rifle you ended up using for this week's Iron Banner.
I'm glad someone else mentioned Oversoul Edict, it's an amazing weapon. I couldn't stand it before this Iron Banner but now having used it, I'm in love.