  We conducted a study on the X-ray polarization properties of MGC-5-23-16 by
analyzing long-term monitoring data from NuSTAR jointly with IXPE observations
made in May and November 2022. The re-analysis of IXPE data gives
model-dependent polarization degree, PD (\%)=$1.08\pm0.66$ in the energy band
$2-8$ keV, which agrees with previous studies within error bars. The
model-independent analysis of PD poses an upper limit of $\leq3.8$ ($1\sigma$
level) for the same energy band. The observed upper limit of PD, along with
broadband spectral analysis ($2-79$ keV) using an accretion-ejection based
model, allowed us to derive the corona geometry (i.e. radius and height) and
the accretion disk inclination ($\sim 33^\circ$). Additional {\it NuSTAR}
observations were also analyzed to gain insights into the accretion flow
properties of the source and to estimate the expected polarization during those
epochs with PD $\sim 4.3\%$. The radius and height of the corona varies between
$28.2\pm3.1 - 39.8\pm4.6$ r$_s$ and $14.3\pm1.7-21.4\pm1.9$ r$_s$ respectively,
with a mass outflow rate from the corona measuring $0.14\pm0.03-0.2\pm0.03$
Eddington rate ($\dot m_{\rm Edd}$). The spectral analysis further provided an
estimate for the mass of the central black hole $\sim 2\times 10^7$ M$_\odot$
and the velocity of the outflowing gas $\sim 0.16-0.19c$. A comparative
broadband spectral study using reflection-based models estimates the disk
inclination between $\sim 31^\circ\pm8^\circ-45^\circ\pm7^\circ$, and yields an
expected PD of 3.4-6.0\%. We also found a weak reflection fraction and a less
ionized distant reflecting medium. Our modeling of the disk-corona-outflows and
polarization connection can be extended and validated with data from the
recently launched XPoSat, India's first X-ray Polarimeter Satellite, offering
potential applications to other sources.
