  The study of Yang-Mills theories in three dimensions is an insightful
playground to grasp important features for the four-dimensional case.
Additionally, in three dimensions, the Chern-Simons term can be introduced with
a mass parameter of topological nature. Quantizing such a theory in the
continuum demands a gauge fixing which, in general, is plagued by Gribov
copies. In this work, Yang-Mills-Chern-Simons theories are quantized in the
maximal Abelian gauge and the existence of infinitesimal Gribov copies is taken
into account. The elimination of copies modifies the (Abelian) gluon propagator
leading to two different phases: one in which all poles are complex and thus
interpreted as a confining phase and another where an excitation which can be
part of the physical spectrum is present.
