  Non-equilibrium effects may have a profound impact on the performance of
thermal devices performing thermodynamic tasks such as refrigeration or heat
pumping. The possibility of enhancing the performance of thermodynamic
operations by means of quantum coherence is of particular interest but requires
an adequate characterization of heat and work at the quantum level. In this
work, we demonstrate that the presence of even small amounts of coherence in
the thermal reservoirs powering a three-terminal machine, enables the
appearance of combined and hybrid modes of operation, where either different
resources are combined to perform a single thermodynamic task, or more than one
task is performed at the same time. We determine the performance of such
coherence-enabled modes of operation obtaining their power and efficiency. In
the case of hybrid regimes, the presence of coherence in the hot bath allows
for an increase in power while maintaining high efficiencies. On the other
hand, in combined regimes, a contrasting behavior emerges whereby coherence has
a detrimental impact on power output and efficiency.
