This next wall run can be tricky. I found it helped to position Lara on or just above the horizontal seam between the stone blocks near the bottom of the painted wall-run area. (If you're playing with white paint disabled, you can still eyeball it based on the seam between stone blocks.)
Run all the way to the left once.
Then, run back to the right, jump out and grapple the quipu ring above.
NOTE: In my experience, if you take the time to run back and forth a few times, the right end of the wall starts to crumble, and Lara is more likely to miss the grapple point and fall. If you find a consistent tactic for this, I'd love to hear it.
Once you grapple the quipu, swing forward, jump and grab the wooden bar ahead.
Lara's weight causes it to swing around toward the wall.
Climb up the stone wall until you can scramble upward and latch onto a small area of craggy climbing wall.
As quickly as you can, jump over to the next climbable area on the right to avoid being hit by falling rubble. Continue upward.
When you reach the top of the craggy wall, scramble up to grab a wooden ladder rung above and keep climbing.
Near the top of the stone wall, one of the handholds collapses, and Lara drops and grabs on below.
Take a breath and keep going. The large, rectangular block above is solid. Climb along to the left then jump and grab the wooden ladder. It looks rickety, but it will hold.
Climb up a little more then scramble up to another cracked climbing wall.
It starts to crumble as you go, so keep moving up and around to the right.
When you reach the upper right, jump out and grapple the overhang.
Climb the cable, latch onto the overhang, and continue climbing to the right...
...until you can pull up onto the ledge above.
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