After the dialogue ends, head in this direction to find some Dust inside.
After collecting this Dust, go back and continue climbing up.
Climb up twice and follow the pipes.
Move forward; there is a furnace on the right. The items on top of the furnace cannot be obtained yet, but there is Dust behind it.
After collecting this Dust, turn around and move forward. You'll see stairs leading down ahead. We won't take the stairs (though you can if you want; jumping onto the pipes is to collect Dust). Jump down from the left onto the pipes.
Go down whichever pipe is passable.
As you near the ground, there is Dust on the opposite pipe. Jump over to collect it.
There is a large opening on the other side containing materials.
Next, there are stairs on the right leading down. Before going down, a Ghost Messenger will spawn. Defeat it to obtain the story item "Killing Intent Furnace Fire Hole Switch".

