  We propose a CP-violating source in the charged Higgs sector of a 3-Higgs
Doublet Model (3HDM) that will contribute to three CP-asymmetry observables for
low energy processes. In the context of such a 3HDM, a measurement of one of
the specific asymmetry observables (i.e., $\bar{B} \to X_{s+d} \gamma$) could
obtain up to 2.5% or more, which would give a 5$\sigma$ evidence for physics
Beyond the SM (BSM) from the full BELLE II data set. In addition to these
CP-violating observables, the current measurements of Electron Dipole Moments
(EDMs) constrain the available parameter region of the CP-violating 3HDM. In
this work, we perform a thorough analysis of the parameter space of it to find
the regions that satisfy EDMs, $\bar{B} \to X_s \gamma$, direct collider
searches for charged Higgs bosons as well as theoretical bounds.
