The Lost City - Ambush at the Inner Gate (Part 1)

After destroying the headless statue (7/8) above the gate on the west side of the plaza, craft as much special ammo as you can. Then go up the western stairs and through the doorway between the 2 horse statues, following the Objective Beacon.

As you enter the open area ahead, Lara steals ARMOR-PIERCING ARROWS from a corpse and adds a new piece of gear to her arsenal. You don't need to do anything special to use these. All of your arrows are now capable of piercing armor, provided you hold RT/Left Mouse before firing to charge the shot.

Lara hears enemies approaching and quickly takes cover behind a low wall. As the fight starts, several fireballs are launched into this area from outside, blocking the doorway through which you entered. You're now trapped in this room as a squad of Deathless warriors attacks.

First come 2 archers on the north wall. You can probably kill one of them from your starting position using a poison or fire arrow.

Shoot the second archer as he jumps down to the floor, or shoot the Greek fire vessel when he moves close to it. If you wait a few seconds for the north gate to open, letting in the next 2 enemies—a swordsman and a soldier with a polearm—you may be able to catch them in the blast as well...

...as shown here. Otherwise, take them out one at a time, as shown below.

The warrior with the swords rushes at you, while the other approaches more slowly. Take them out one at a time using the Dodge Counter/Kill maneuver or the shotgun. Recapping the Dodge maneuver, stand firm as the enemy approaches. When he takes a swing or jumps at you, press B/C to dodge...

Then, when the Melee icon appears, wait for the the thin gray circle to contract all the way to the icon in the center and press Y/F...

...for the finisher.

A combination of regular and dragonfire shotgun shells also works well against charging enemies. Step away while shooting, and try not to let them back you into a corner.

If anyone gets too close, run/jump past them, turn and continue shooting while backing away. You can also use melee attacks if you've upgraded your axe (not shown), but getting close enough to hit them means they're close enough to hit you. So only use the axe if you have to.