  Bento \textit{et al.} [Phys. Rev. E 91, 022105 (2015)] recently stated that
the Tsallis entropy violates the third law of thermodynamics for $0 < q <1$ in
the sub-additive regime. We first show that the division between the regimes $q
< 1$ and $q > 1$ is already inherent in the fundamental incomplete structure of
the deformed logarithms and exponentials underlying the Tsallis entropy. Then,
we provide the complete deformed functions and show that the Tsallis entropy
conforms to the third law of thermodynamics for both super-additive $q < 1$ and
sub-additive $q > 1$ regimes. Finally, we remark that the Tsallis entropy does
not require the use of escort-averaging scheme once it is expressed in terms of
the complete deformed functions.
