Instructions
Begin the New Alexandria campaign mission. You must start this as a multiplayer campaign mission, as you will need at least one other player to help you get the Pelican. Complete all the mission goals as you normally would, until your current task becomes "Defend the Omni Building."
Fly to the top of the Omni building, and land on the roof. Have your teammate get out of the ship you are flying and jump on top. Carefully maneuver the ship to the side of the building without a landing pad. About two-thirds of the way up the building is a small alcove with a switch on the ceiling.
Slowly fly into the alcove, taking care not to move so fast your partner falls off, or is knocked off by the walls or ceiling. Move so you are hovering under the green switch located on the ceiling of the alcove. Tell your partner to move under the switch, and press the "X" button to activate it.
Carefully fly back to the roof of the building and land. Let your teammate get back into the ship. Fly toward the building with the neon wall and the giant oval near the top. This is located in front of the Omni Building. Fly through the oval, and your ship will turn into a Pelican ship.