🐛(frontend) fix broadcast store sync

When going from one subdoc to another by example,
the broadcast store could have difficulty to resync.
This commit ensures that the broadcast store
cleans up and resets its state when rerendering.
It will stop as well triggering the action for
the current user avoiding potential unecessary
requests.

CHANGELOG.md

@@ -6,6 +6,10 @@ and this project adheres to
 
 ## [Unreleased]
 
+### Fixed
+
+🐛(frontend) fix broadcast store sync #1846
+
 ## [v4.5.0] - 2026-01-28
 
 ### Added