The previous commit tried to use atomics but not many CPUs support
128-bit atomics. So we use a mutex. In order to avoid contention, we
also store `recent_problematic_timestamp` locally on the `Manifest`
which is only ever accessed from a single thread at a time, and only
consult the global one if the local one is problematic.

This commit was tested by running `zig build test-behavior` in two
separate terminals at the same time.