  This study examines a recently hypothesized black hole, which is a perfect
solution of metric-affine gravity with a positive cosmological constant, and
its thermodynamic features as well as the Joule-Thomson expansion. We develop
some thermodynamical quantities, such as volume, Gibbs free energy, and heat
capacity, using the entropy and Hawking temperature. We also examine the first
law of thermodynamics and thermal fluctuations, which might eliminate certain
black hole instabilities. In this regard, a phase transition from unstable to
stable is conceivable when the first law order corrections are present. Besides
that, we study the efficiency of this system as a heat engine and the effect of
metric-affine gravity for physical parameters $q_e$, $q_m$,
$\kappa_{\mathrm{s}}$, $\kappa_{\mathrm{d}}$ and $\kappa_{\mathrm{sh}}$.
Further, we study the Joule-Thomson coefficient, and the inversion temperature
and also observed the isenthalpic curves in the $T_i -P_i$ plane. In
metric-affine gravity, a comparison is made between the Van der Waals fluid and
the black hole to study their similarities and differences.
