  In the presence of transition magnetic moments between active and sterile
neutrinos, the search for a Primakoff upscattering process at coherent elastic
neutrino-nucleus scattering (CE$\nu$NS) experiments can provide stringent
constraints on the neutrino magnetic moment. We show that a radiative
upscattering process with an emitted photon in the final state can induce a
novel coincidence signal at CE$\nu$NS experiments that can also probe neutrino
transition magnetic moments beyond existing limits. Furthermore, the
differential distributions for such a radiative mode can also potentially be
sensitive to the Dirac vs. Majorana nature of the sterile state mediating the
process. This can provide valuable insights into the nature and mass generation
mechanism of the light active neutrinos.
