This will place you in front of a locked door that requires the Dam Surveillance Key. All you need to do from here is use the Dam Surveillance Key on the door to ARC Raiders Items unlock the room, and your first objective in Greasing Her Palms will be complete. However, you'll definitely want to stay and look around, as there's a slew of high-quality loot inside the locked room.

Your next objective in Greasing Her Palms is to visit a "barricaded area" on the Buried City map. This area is located in the Space Travel building, situated next to the Research building. You'll find Space Travel in the red-lined rectangle next to the yellow-lined rectangle on the eastern side of Buried City.

When you get to the Space Travel building, you need to take the ziplines located inside the elevator shafts to reach the sixth floor. You can also take the stairs located around the building. Once you're on the sixth floor, head down the main hallway, and you'll find a door that's barricaded. Breach through the door, and the "objective complete" notification will appear on your screen.

For the final step of the Greasing Her Palms quest, you need to head to the Spaceport map in Arc Raiders. Fortunately, all you need to do for this step is head to the central part of the map. Specifically, go south of the Rocket Assembly location, which is located east of Launch Towers and just north of Control Tower A6.

South of Rocket Assembly, you'll see two rocket thrusters on the ground. Visit the rocket thruster on the southwestern side, head behind it on its south side, and stay there for roughly three to five seconds. After that, you'll see the "objective complete" notification appear on your screen. There's nothing to interact with buy ARC Raiders Station, so stay still on the south side of the thruster until the notification appears.