  In this work, we explore a three-dimensional formulation of the polynomial
affine model of gravity, which is a model that extends general relativity by
relaxing the equivalence principle through the exclusion of the metric from the
set of fundamental fields. In particular, in an attempt to gain insight of the
role of the torsion and nonmetricity in the gravitational models, we consider
homogeneous and isotropic cosmological models, for which their solutions are
classified in a \emph{decisions tree}. We also show a few of these explicit
solutions that allow the definition of (alternative/emergent) metrics derived
from the connection.
