[lib] Handle setClientDBStoreActionType for entries

Summary:
Handle the action and check if the expected and processed store match

Depends on D12143

https://linear.app/comm/issue/ENG-3486/move-entrystore-to-sqlite

Test Plan: Created some entries, closed the app, killed the keyserver, opened the app, and checked if an alert with store difference wasn't shown.

Reviewers: kamil, marcin

Reviewed By: marcin

Subscribers: ashoat

Differential Revision: https://phab.comm.dev/D12147