This page in our guide to Layers of Fear 2 focuses on the longer escape from the monster which takes place during act 2. You will also have to complete the third puzzle involving a projector.
Stay cautious after you open the door with two blockades - a monster will appear in the corridor presented in the picture. Run away from the creature.
Start running in the opposite direction. Watch out for hot steam. Avoid them by crouching or just stay away from hot steam.
Colors are back after you enter the right room. You have to solve another projector puzzle. Read the note left on the table. Don't select frames that include large distorted faces of a child (see the picture above). If you leave these frames for too long, you will die.
Find the frame with a rectangle. Approach it - a vent shaft entrance will "materialize".
Enter inside. Once you reach the exit, go to another metal door with levers.