As Lara drops into the next area, she spots 4 more enemies: 3 on the ground and one on the wall ahead and to the right. Here I have numbered them in the order we'll take them down.
For a stealthy approach, move forward into hiding behind the vine-covered wall. Sidle to the left end of the wall and wait for the first enemy to approach.
When he's out of the others' view (yellow in Survival Instinct) and you see the Melee icon above him...
...press Melee for a stealth kill. Then loot the body for ammo, money, and supplies.
Move back along the vine-covered wall toward the right. Then move quickly but quietly to the perpendicular wall, which is also covered in vines. Once Lara is hiding amid the leaves, step toward the left end of the wall.
Wait here for the second enemy to approach. He'll be red in Survival Instinct view for a while as he wanders away from the other guy. So don't attack yet.
When he's far enough away so the other men won't see (yellow glow) and the Melee icon appears above his head...
...press the button to kill him quietly.
Press Interact to take his stuff.
Now move back to the first vine-covered wall. You don't have to take cover but walk along behind it. Then turn right and approach the third man from behind.
You can either Melee kill him in the usual way or grab one of the bottles on the crate to the left.
Don't make a Molotov with it though, instead stand behind the guy at the computer and press Interact to stab him with the bottle. Gross, I know, but it's useful to have options.
Turn around and pick up some supplies.
Then move from the computer past the opening leading to the next area and scramble up the wall on the right. Don't pull all the way up onto the ledge, though.
Check to make sure the fourth guy, standing above, is unobserved (yellow) and that the Melee icon is showing.
Then press Melee to drag him off the wall and put him out of your misery.
Lara should automatically frisk him as he falls, cause she's nimble that way. But if not, you can drop down and loot his body. Now climb up onto the wall and collect some supplies there. Just take care to stay hidden so the men in the courtyard ahead don't notice.
There's rifle ammo and a first aid kit behind the broken wall just ahead.
Turn around to find a box of supplies and just around the corner some cloth lying on the floor.