  We find a mixed chirality $d$-wave superconducting state in the coexistence
region between antiferromagnetism and interaction-driven superconductivity in
lightly doped honeycomb materials. This state has a topological chiral
$d+id$-wave symmetry in one Dirac valley but $d-id$-wave symmetry in the other
valley and hosts two counter-propagating edge states, protected in the absence
of intervalley scattering. A first-order topological phase transition, with no
bulk gap closing, separates the chiral $d$-wave state at small magnetic moments
from the mixed chirality $d$-wave phase.
