To earn the Special P.E.T. Benefits trophy in The Outer Worlds: Peril on Gorgon, you will need to acquire 3 science weapons called the Special Delivery, P.E.T. and Employee Benefits.
Special Delivery: Charles from Accounting drops the Special Delivery. He can be found at the Marauder Stronghold in the southeastern part of the map.
P.E.T.: You can loot the P.E.T. from the Secret Society Hideout after completing the side quest called “A Dialog Between Dead Men“.
Employee Benefits: The Employee Benefits is given to you by Jasper Low during the story (as long as you don’t kill him) after exhausting all his dialog options.