Once outside, you'll need to head to the yellow club on the map to find the guy. Once you get up the hill where he is located, take out any of the other guys around him, then get close to him. Once you're close enough, press Square to stun him and Triangle after that to take him down. This is referred to as "subduing" the card and will use it throughout the guide, so when it says that, don't kill him/her. Call in an extraction helicopter by use of the support menu and place the Two inside to get the bounty.
After you do that, you'll be told to destroy the artillery. You'll receive a new support item now, Surgical Strike. Highlight the item on your support menu and equip it. Once you have it on you, head over to the cliff and aim the laser at one of the two artillery vehicles. Hold in the button until you see the target flash and watch the vehicle explode! Do the same for the other vehicle to finish this objective. After that's done, head back to Allied HQ and talk to the guy in front to finish the contract.