
After obtaining the LIBRARY KEY and unlocking the "Moving Doesn't Change Who You Are"achievement/trophy, detailed in the last section, drop to the floor, return to the angled block near the entrance, and pull up onto the first chandelier. Take a running jump and grab the middle chandelier; pull up. Repeat to get to the third chandelier, just like you did before.

This time, walk to the far edge and pull up onto the wooden ledge above.

Draw pistols, turn right, and shoot 2 rats (25-26) lurking near the square, brick pillar.

Then go around behind the pillar and walk out onto the brick ledge. Step to the edge and jump straight up to grab the big, wooden beam. Traverse to the right until Lara can pull up.

Stand with the thick, vertical support on Lara's right, walk to the edge and jump across the gap to land on the wooden ledge below.

When you advance, a thug with a club (27) jumps out from behind the low brick wall, so be ready for him. (The trigger tile is outlined in the screenshot above. Climbing onto the wall also causes him to spawn.) To prevent him from pushing Lara off the edge, you can wait for him to climb over the wall, then jump onto it, hop down on the other side...

...roll, and shoot him as he climbs back over. If he gets too close, roll again and back away firing.

Pick up the small medi pack (13) he drops. Then climb onto the brick wall.

Walk to the end, and jump over to the wooden beam, this time to the left of the vertical support. Pull the switch...

...to change the height of the chandeliers.

Jump back down onto the brick wall. Step forward. Turn so the vertical chain is behind Lara.

Then safety drop onto the first chandelier, which is now the highest.

Walk to the edge nearest the middle chandelier and take a standing jump to land on it.

Turn left and take a carefully angled running jump onto the right side of the nearby windowsill.

Pull the switch...

...to open a trapdoor in the fireplace below.

Shoot out one of the windows near the switch and step out onto a ledge overlooking the canal. Follow this ledge to the end, where there's an opening in the back of the chimney.

Safety drop down the chimney into the pool below, taking no damage from the burning fireplace.

NOTE: If you fall (or deliberately drop) into the canal outside the BALLROOM, it's possible to explore and find some goodies, but you won't be able to reach the LIBRARY ENTRANCE. Scale the climbable wall shown above to get back into the BALLROOM. Climb up to the middle chandelier, jump back to the windowsill with the switch, and use it to open the trapdoor in the fireplace if you didn't do so before. Then follow the outside ledge and drop down the chimney, as described above. The route shown in this walkthrough gets all the pickups here, just a little later.
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