Puzzletober 2025: Puzzling

The bedsheet smothers the fire before it can spread to the wood. Just after the flame is gone, Jett Durabo kicks open the cabin door and deploys a fire extinguisher. The others turn to stare at Jett, who stammers, "I was looking out my bedroom window when I saw the flame peek out of the cabin. I had to ask Mr. Oleander where the fire extinguisher was..." Jett finds a chair in the front room and sits on it, then, after taking in the surroundings, asks, "How did it happen?" The newcomer says, "It's like the shelf moved on its own. Is... is this place haunted?" "I haven't read any stories about this house," says Jett, "but given today is Halloween, it could be the case." "Very puzzling," the newcomer mutters under his breath.

The one who started the fight shivers and tells Jett, "You should've brought a flamethrower. We lost the lamp and it's freezing tonight!"

Rules: Help construct a hybrid Walk puzzle. Assign tile types to cells so that a quarter of the cells are fire tiles, a quarter are water tiles, and a quarter are ice tiles. A cell cannot be multiple types of tile. A region will be defined as an orthogonally-connected mass of tiles of the same type (or absence of elemental tiles). It must be possible to draw a loop that satisfies the rules of any tiles it passes through and passes over every number in such a way that each number represents the amount of cells that the loop visits during any visit to the region that passes through the number.

penpa link (no answer check)

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