  Motivated by improved limits on electric dipole moments (EDMs), we revisit
the three-loop light-by-light mechanism that transmits $CP$ violation from a
heavy fermion to a light one. Applying it to the electron EDM induced by EDMs
of heavier flavors, we find additional contributions at the order $ m_e/m_\mu $
or $m_e/m_\tau$ that were missing before and that make the result 1.4 times
larger. Consequently we improve bounds on the tau EDM, and update indirect
limits on the muon EDM as well as charm and bottom quark color EDMs.
