spoiler:

Quick solution
Find and pull the levers, beneath their respective light combinations, in the following order:

1. Off, Off, On
2. Blinking, On, Blinking
3. Blinking, Blinking, On
4. Blinking, Off, Blinking

Explained solution
This is a binary logic puzzle. Each of the four corridors has a symbol associated with it; triangle, star, square, and circle, however these appear to simply help identify the sectors. The relevant information can be found at the end of each sector, above the levers; a trio of lights which are either on, off, or blinking sporadically. A light that is on may be denoted as '1', a light that is off may be denoted as '0', while a light that is blinking is either 1 or 0. Assuming no duplicate numbers, the light configurations can be deduced by process of elimination to reveal the following order:

1. Off, Off, On (001)
2. Blinking, On, Blinking (?1? -> 010)
3. Blinking, Blinking, On (??1 -> 011)
4. Blinking, Off, Blinking (?0? -> 100)

spoiler:

When heading down the star corridor, one wall does not match its reflection; heading towards this wall will enter a 'secret room' with a Leftovers monster, a strange barrier, and a single white and green sock...

quote:

The way forward is completely sealed.

You feel better!

You pull the lever.

The lever is stuck!

The levers seem to have reset.

You hear a clicking sound from back where you came.

No matter how hard you try, you can't seem to break through the barrier.