[DataSync] No Mutation Shared State

When using the useMutation hook in a custom hook that is used in multiple components, the mutation status is not shared between those components: https://github.com/TanStack/query/issues/2304

I've addressed that for `useDatasyncAction` here: https://github.com/Automattic/jetpack/pull/35962

But this is still an active problem in `useDataSync`

However, @thingalon pointed out that this may not be an issue - depending on how we want to deal with this, and perhaps we should maintain feature parity with react-query here.

I think we're going to need a way to listen to shared mutations. So even if we do revert `useDataSyncAction` fix, we still need a more streamlined way to listen in on global mutations state.

Either way - the current situation is not great, because it's neither here nor there. Mutations right now are inconsistent in DataSync.