Note that the `fd` is only valid while the file is still open. So we need to
move the setting calls to before we close the file. However! We cannot do so
with the `utime()` call (even though `futimens()` exists) because the follow-
ing `close()` call to the `fd` will reset the atime of the file. So it seems
the `utime()` call has to happen after the file is closed.