Baba Yaga DLC - Boss Fight (Part 1)

First deal with the witch's minions, who drop down from the ledge on the southwest side of the room and try to flank you. There are 5 enemies in this first group: 3 archers and 2 with knives. They behave very much like the Deathless warriors in the later levels of the main game. So if you played through the story before tackling this DLC, you'll be familiar with their tactics.

The archers (like the one on the right in the screenshot above) tend to sneak up gradually while taking occasional potshots with fire arrows. Use your rifle or bow to pick them off.

The ones with knives rush at Lara, so take them out with the shotgun or Dodge Counter/Kill maneuver (assuming you've unlocked those skills).

Lara starts behind cover, but if things get hectic, change position. The metal gizmo near the rope spool is pretty solid, and there's a thick stone column to the right of it. Just take care not to fall in the pool beside it.

Again, pick off the archers as they approach from either side. Use the rifle, bow, or even the pistol if they're not too close.

Or switch to the shotgun, hide behind something, and wait for them to come to you.

Now do your best to avoid the witch's fireballs as you work the vat and lever just like you did back in the canyon near the beginning of the level.

First, stand near the spinning rope spool.

Shoot the witch herself with a regular arrow. This won't do any damage, but it will make her duck down in the cauldron so she can no longer hurl fireballs.

Quickly shoot the lower part of the cauldron, which is wrapped in rope.

This will tether the cauldron to the spool, gradually pulling the cauldron in toward the distilling vat.

While this is happening, move close to the handle on the right side of the vat...

...switch to the pistol or rifle if you like, and shoot the witch again to make her duck down. Otherwise, she'll cut the rope and you'll have to start over again.

Once the cauldron is above the vat, lower your weapon (by releasing LT/Right Mouse) and press Interact to pull the handle.

This opens the vat, and the resulting explosion blasts the witch across the room.

This is just the first of several distilling vats you'll use in the fight against the witch. It is marked A on the annotated level map.