  An explicit expression for the finite-volume energy shift of shallow
three-body bound states for non-identical particles is obtained in the unitary
limit. The inclusion of the higher partial waves is considered. To this end,
the method of arXiv:1412.4969 (Mei{\ss}ner et al.) is generalized for the case
of unequal masses and arbitrary angular momenta. It is shown that in the S-wave
and in the equal mass limit, the result from arXiv:1412.4969 is reproduced.
