Allow to persist value stream project ids filter

What does this MR do and why?

Allows to persist project ids filter on database using Rails internal API. No user-facing changes were introduced.

related to #381003 (closed)

How to set up and validate locally

We do not have a form to test this properly, should be implemented with &9129.

MR acceptance checklist

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• I have evaluated the MR acceptance checklist for this MR.