  We investigate theoretically the thermoelectric transport through a circuit
implementation of the three-channel "charge" Kondo model quantum simulator [Z.
Iftikhar et al., Science 360, 1315 (2018)]. The universal temperature scaling
law of the Seebeck coefficient is computed perturbatively approaching the
non-Fermi liquid strong coupling fixed point using abelian bosonization
technique. The predicted $T^{1/3}\log T$ scaling behavior of the thermoelectric
power sheds a light on the properties of $Z_3$ emerging parafermions and gives
an access to exploring pre-fractionalized zero modes in the quantum transport
experiments. We discuss a generalization of approach for investigating a
multi-channel Kondo problem with emergent $Z_N\to Z_M$ crossovers between
"weak" non-Fermi liquid regimes corresponding to different low-temperature
fixed points.
