Ulysses wants to leave Pandora, but his supply beacon was stolen from him and he needs you to retrieve it. You also see that there’s an optional objective to retrieve Ulysses’ pet. Both the beacon and his pet can be found in the large area underneath the Buzzard Nest, which is where you found Ulysses and start this side mission.

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Ulysses' pet (left) can be found on a shelf. The supply beacon is found in a lower area in the underground section (right).

The easier of the two is his pet, which you can find on a shelf that’s on top of a structure that you can reach via a ladder. The beacon might be a little trickier to get to, as you will see when you arrive at the waypoint, because the beacon is located in an area you normally wouldn’t go to. It is located down below the ground level, which you can get to by either dropping to it or using the ladders. Bring the beacon back to Ulysses and place it at the designated spot to finish the mission.