feat: sync mobile recent work across devices (Closes #1475)

scripts/rotate_private_state.py

@@ -81,6 +81,9 @@ STORES = (
     Store("queue-priority", "queue-priority", "STACKCHAIN_QUEUE_PRIORITY_DB", "queue-priority.sqlite3", (
         Table("queue_priorities", ("login",), (Field("queue_order", "order:{login}"),)),
     )),
+    Store("recent-work", "recent-work", "STACKCHAIN_RECENT_WORK_DB", "recent-work.sqlite3", (
+        Table("recent_work", ("login",), (Field("items", "items:{login}"),)),
+    )),
     Store(
         "completed-filed-reviews",
         "completed-filed-reviews",