  Even though neutrino oscillations have been conclusively established, there
are a few unanswered questions pertaining to leptonic Charge Parity violation
(CPV), mass hierarchy (MH) and $\theta_{23}$ octant degeneracy. Addressing
these questions is of paramount importance at the current and future neutrino
experiments including the Deep Underground Neutrino Experiment (DUNE) which has
a baseline of 1300 km. In the standard mode, DUNE is expected to run with a
{\textit{low energy}} (LE) tuned beam which peaks around the first oscillation
maximum ($2-3$ GeV) (and then sharply falls off as we go to higher energies).
However, the wide band nature of the beam available at long baseline neutrino
facility (LBNF) allows for the flexibility in utilizing beam tunes that are
well-suited at higher energies as well. In this work, we utilize a beam that
provides high statistics at higher energies which is referred to as the
{\textit{medium energy}} (ME) beam. This opens up the possibility of exploring
not only the usual oscillation channels but also the $\nu_{\mu} \to \nu_{\tau}$
oscillation channel which was otherwise not accessible. Our goal is to find an
optimal combination of beam tune and runtime (with the total runtime held
fixed) distributed in neutrino and antineutrino mode that leads to an
improvement in the sensitivities of these parameters at DUNE. In our analysis,
we incorporate all the three channels ($\nu_{\mu} \to \nu_{e}, \nu_{\mu} \to
\nu_{\mu}, \nu_{\mu} \to \nu_{\tau}$) and develop an understanding of their
relative contributions in sensitivities at the level of $\Delta \chi^2$.
Finally, we obtain the preferred combination of runtime using both the beam
tunes as well as neutrino and antineutrino mode that lead to enhanced
sensitivity to the current unknowns in neutrino oscillation physics i.e., CPV,
MH and $\theta_{23}$ octant.
