Item description:

Press X to go through the door

Move LS to left (DON'T TOUCH THE LEVER!!),
and go towards the gate/cage thing,
Press [] to pick up the Chute,
Press L1 for your inventory then select Chute,
Press /\ to observe and /\ again for Kate to comment
pick up the rod in front of the box on the left

Go left and take note of the vertical green coal
chutes on both sides of the room

Only hit the third chute on the right (second from the end)
with your rod **View Screenshot If Needed**
You should hear a hollow sound indicating that it's full
Go back to the other side of the room with the lever you
didn't touch (right?) and push the cart in front of the
coal chute that you hit
(Go behind the cart, Hold X and move LS UP to bring it to chute)

On the vertical green coal chute....
Press /\, Press [], D-Pad down and Press X (to USE the chute)

Now Press X on the switch
**** "A Word To The Wise..." **** trophy pops

Go back to the lever and pull it, which will change the alignment of
the tracks on the ground so you can push the cart outside

The cart will be too heavy for you to move by yourself now,
so find the car on the other side of the room and interact with it
(Just go past the cart you filled up with coal)
On the vehicle dashboard let's call it....
you'll see that the bottom right button is missing
Take out your knife and use it on the upper left button
Pull the knife down to pry the button loose, and then pick it up

Press L1 for your inventory
(Button should be already selected, if not, use D-Pad for it)
Once selected, Press /\ to observe and /\ again for Kate to comment
**** "You Call That Cheating...?" **** trophy pops