Along the west cave wall, opposite the sphinx's left paw, is a light-colored block just the right height for climbing. Pull up onto that block, turn right, then take a standing jump over the shorter angled block onto the next taller block. Turn around and take another standing jump to grab the brownish ledge above the ledge you just came from. Pull up.
Walk along the ledge to get the magnum clips (8) ahead on the left.
Turn around and make your way back along that same ledge to the spot where you just pulled up. Turn left (toward the cave wall) and vault onto the low ledge above. Turn right and jump over the steeply sloped block onto the flat block beyond.
From there, take a running jump to the next higher ledge. (This one has a pebbled texture on its flat surface.)
If the first winged mutant (4) bugged out on you earlier, it should mobilize as Lara climbs around here, so keep an eye out for it. If you have to fight it on the high ledges, keep Lara's back to the wall and try to shoot the mutant before it gets close. If possible, climb down to the ground so you'll have room to maneuver as you fight. Then retrace your steps back to the pebbled ledge.
Turn to face the cave wall. Climb onto the ledge above, then to the block on the right, where you'll find more magnum ammo (9).
There are more climbable ledges ahead, but no goodies. So, after picking up the ammo, turn around so the cave wall is on Lara's right. Climb or jump onto the angled block ahead. Then take a standing jump across the next slope onto the flat block beyond. Do the same again. Then continue down and left to the switch. (There's a save crystal here in NG+.)
Use the switch to open a carved stone door on the left side of the sphinx (not the one between its paws). When you do, another flying mutant (5) approaches from the area near the first switch. Here it may help to move back around the corner to the right of the switch and vault up onto the low block...
...so you can target the mutant as it approaches. Use magnums if possible to take it down more quickly...
...and hop back into the corner if necessary to prevent the mutant from pushing Lara off the ledge.
When the coast is clear, face the switch, angle Lara a little to the left and then jump over to the ledge with the shotgun shells (10).
Take a running jump to grab the next thin, jutting ledge. Pull up and get more shotgun ammo (11).
Return to the spot where you just pulled up and take another running jump to the next ledge.
DARK MODE: Even with brightness adjusted, dark images on a light background can be hard to see. May I suggest a reputable dark mode browser extension, such as Dark Reader? (Download only from trusted sites, like darkreader.org or your browser's web store.)
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