In order to obtain this trophy, you must fulfill the following:
1) Have Dwight to Level 20 (to equip three perks).
2) Have all three of Dwight's unique perks unlocked, not the teachable versions. They are: Bond, Prove Thyself, and Leader.
3) Complete a public match by surviving.
You are unable to have a fourth perk, thus why I suggested Level 20. You are able to bring in additional items, add-ons, and offerings. You have to actually exit/escape (via the gates or the hatch) for the trophy to pop for you.