  We develop a systematic procedure of constructing lepton mass matrices that
satisfy all the experimental constraints in the light lepton sector of the
minimal left-right symmetric model with type-I seesaw dominance. This method is
unique since it is applicable to the most general cases of type-I seesaw with
complex electroweak vacuum expectation values in the model. With this method,
we investigate the TeV-scale phenomenology in the normal hierarchy without
fine-tuning of model parameters, focusing on the charged lepton flavour
violation, neutrinoless double beta decay, and electric dipole moments of
charged leptons. We examine the predictions for typical ranges of associated
observables such as branching ratios of rare lepton decays, and study how those
experimental constraints affect the model parameter space. The most notable
result is that the regions of parameter space that allow small light neutrino
masses have been constrained by the present experimental bounds from charged
lepton flavour violation. Furthermore, we also find that the mass of the
lightest heavy neutrino should be relatively small in order to satisfy those
experimental constraints.
