[Feature] Show post's pool ID in the API

In category: Site Bug Reports & Feature Requests

Requested feature overview description.
Have the API return the pool IDs for a post.

This feature was supposedly added a few years back, but I don't see it in the API responses.

Why would it be useful?
It'd allow third-party tools to show the pool a post belongs to.

What part(s) of the site page(s) are affected?
(wherever a post object is returned by the API)