Refactor all menu selection data fetch and permission checks into compomnent

[getdave]

Follow up to #38179 (comment)_. We need to pull all the:

• data fetching
• permissions checking

...so that it is within the Select menus component itself. This means we don't have to keep compiling the arguments each time we need it.

This could also be within a hook in order that we can retain a separation of concerns between component and logic.

Related: #37190

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Adam and I discussed off Github about tackling this incrementally. I'll now follow up to consolidate all the data fetching and permissions checking into one single component which we can reuse everywhere.

Originally posted by @getdave in #38179 (comment)