  We study the propagator on a single tetrahedron in a three dimensional toy
model of quantum gravity with positive cosmological constant. The cosmological
constant is included in the model via q-deformation of the spatial symmetry
algebra, that is, we use the Tuarev-Viro amplitude. The expected repulsive
effect of dark energy is recovered in numerical and analytic calculations of
the propagator at large scales comparable to the infrared cutoff. However, due
to the simplicity of the model we do not obtain the exact Newton limit of the
propagator. This is a first step toward the similar calculation in the full 3+1
dimensional theory with larger numbers of simplicies.
