What is the preorder reflection of the category \\( \mathbb{N} \\).

![diagram](https://docs.google.com/drawings/d/e/2PACX-1vSNq8tGaSP6a6b5IEKXbFSWVhXVfLV5_JgG6Dmk8Awd7BTesSBvq3DKftqXOf93k_NMZbc0Z_7IV0pS/pub?w=120&h=146)

$$ Path = \\\{z, s, s.s, s.s.s, \cdots \\\} $$
$$ \mathbb{N} = \\\{0, 1, 2, 3, \cdots \\\} $$

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