  In this paper, we solve the gap equation of the
Yang-Mills-Gribov-Zwanziger-Chern-Simon theory by considering the first order
in the Chern-Simon topological mass term, $M$. As a result, we find three
possible solutions to the gap equation, i.e. three different Gribov parameters.
In addition, we analyze the regime of the theory for each of these Gribov
parameters and we obtain a different result from the literature.
