Chalk????

[Hakushi]

I gotta ask... What the hell areyou supposed to do with the chalk?
I know it says to write on walls, but where?
Is this just used later on (beyond level) ?

[Hamster Idol]

It's so you don't get lost in mazes. Mark up the wall where you need to return to and it'll show up on the map.

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It's a hamster stuck in an ice cube.