  We investigate low-scale resonant leptogenesis in an $SU(5) \times
\mathcal{T}_{13}$ model where a single high energy phase in the complex
Tribimaximal seesaw mixing produces the yet-to-be-observed low energy Dirac and
Majorana ${CP}$ phases. A fourth right-handed neutrino, required to generate
viable light neutrino masses within this scenario, also turns out to be
necessary for successful resonant leptogenesis where $CP$ asymmetry is produced
by the same high energy phase. We derive a lower bound on the right-handed
neutrino mass spectrum in the $\mathrm{ GeV}$ range, where part of the
parameter space, although in tension with Big Bang Nucleosynthesis constrains,
can be probed in planned high intensity experiments like DUNE. We also find the
existence of a curious upper bound ($\text{TeV}$-scale) on the right-handed
neutrino mass spectrum in majority of the parameter space due to significant
washout of the resonant asymmetry by lighter right-handed neutrinos.
