Fix stale deployment statuses

[collincchoy]

Similar (but different) to #14082 - this PR fixes a separate issue where Deployment statuses aren't being updated correctly. In particular, a work pool + queue with a running worker does not update a newly created deployment to READY.

Closes #13869

See https://github.com/PrefectHQ/prefect/pull/14097 for 2.x port.

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