Flow to add a newly published product to the top of a collection

Hi Paul,

Thank you for taking the time to help me.

In our case we have set up automated collections, so not using flow to add
a product to a collection (we have a lot of them).

What we want is that whenever a product receives media (at least 1), and
has available stock, thus a new item in the online store, it gets pushed to
the first position of every collection it falls in.

Is that doable with Flow?