  We complete the study of smooth $Z_3$-quotients of complete intersection
Calabi-Yau threefolds by discussing the six new manifolds that admit free $Z_3$
actions that were discovered discovered recently by Braun. These manifolds were
missed in an earlier work and complete the web of smooth $Z_3$-quotients in a
nice way. We discuss the transitions between these manifolds and include also
the other manifolds of the web. This leads to the conclusion that the web of
$Z_3$-free quotients of complete intersection Calabi-Yau threefolds is
connected by conifold transitions.
