The door closes behind you, but the switch inside opens it again. The door on the right is already open but closes behind you after you pass.
Ahead is an angled floor with a trapdoor at the bottom. Do not slide down! This is a deadly trap with glass shards below.
Instead step to the edge and turn around.
Slide down backwards and grab the edge as the trapdoor falls open.
Pull up and the trapdoor closes and locks behind you. (You may need to do this twice for it to work, so be sure to continue to hold Action as you pull up in case Lara slides back into the pit.)
Now you can stand on the closed trapdoor and climb into the opening above.
Pull the switch here to open the door at the top of the slope. . .
. . . as well as a blue panel elsewhere.
To get out, hop down onto the trapdoor and take a standing jump up the slope. Follow the passageway back to the FLOODED ROOM WITH THE FLOATING PLATFORM.
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