  Neutrino mass hierarchy, CP-violation, and octant of $\theta_{23}$ are the
fundamental unknowns in neutrino oscillations. In order to address all these
three unknowns, we study the physics reach of a setup, where we replace the
antineutrino run of T2HK with antineutrinos from muon decay at rest
($\mu$-DAR). This approach has the advantages of having higher statistics in
both neutrino and antineutrino modes, and lower beam-on backgrounds for
antineutrino run with reduced systematics. We find that a hybrid setup
consisting of T2HK ($\nu$) and $\mu$-DAR ($\bar\nu$) in conjunction with full
exposure from T2K and NO$\nu$A can resolve the issue of mass hierarchy at
greater than 3$\sigma$ C.L. irrespective of the choices of hierarchy,
$\delta_{\mathrm{CP}}$, and $\theta_{23}$. This hybrid setup can also establish
the CP-violation at 5$\sigma$ C.L. for $\sim$ 55% choices of
$\delta_{\mathrm{CP}}$, whereas the same for conventional T2HK ($\nu +
\bar\nu$) setup along with T2K and NO$\nu$A is around 30%. As far as the octant
of $\theta_{23}$ is concerned, this hybrid setup can exclude the wrong octant
at 5$\sigma$ C.L. if $\theta_{23}$ is at least $3^{\circ}$ away from maximal
mixing for any $\delta_{\mathrm{CP}}$.
