The exit push spawned a detached task on AppExit, which process
teardown almost always killed before the network round-trip completed —
the final session's sync silently never happened (2026-07-06 review,
finding M3). Local persistence meant no data loss, but stats stayed
unsynced until the next launch.
push_on_exit now blocks the closing app's final frame for at most
EXIT_PUSH_TIMEOUT (2s) via tokio::time::timeout: long enough for one
healthy round-trip, short enough that quitting never feels hung when
the server is unreachable. Timeout and errors are logged and skipped —
the next launch's pull/push converges as before.
Closes review finding M3.
Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>