  We explore the neutrino sector of the minimal left-right symmetric model,
with the additional charge conjugation discrete symmetry, in the tuned regime
where type-I and type-II seesaw mechanisms are equally responsible for the
light neutrino masses. We show that unless the charged lepton mixing matrix is
the identity and the right handed neutrino mass matrix has no phases, we expect
sizable lepton flavor violation and electron dipole moment in this region. We
use results from recent neutrino oscillation fits, bounds on neutrinoless
double beta decay, $\mu \to e \gamma$, $\mu \to 3 e$, $\mu \to e$ conversion in
nuclei, the muon anomalous magnetic moment, the electron electric dipole moment
and cosmology to determine the viability of this region. We derive stringent
limits on the heavy neutrino masses and mixing angles as well as on the vacuum
expectation value $v_L$, which drives the type-II seesaw contribution, using
the current data. We discuss the perspectives of probing the remaining
parameter space by future experiments.
