The flock is per-fd, not per thread, and we do it outside of the main mutex. This was
done to avoid having to wait in the mutex, but we can get a case where one ends up running
the body with the flock unlocked.
Fix this by adding a mutex that doesn't need to be locked for reads.
Fixes: 4f0f8133a3 "util/fossilize_db: Do not lock the fossilize db permanently."
Reviewed-by: Timothy Arceri <tarceri@itsqueeze.com>
Part-of: <https://gitlab.freedesktop.org/mesa/mesa/-/merge_requests/12266>
(cherry picked from commit 30a359d633)