  This work investigates several key aspects of a non--commutative theory with
mass deformation. We calculate thermodynamic properties of the system and
compare our results with recent literature. We examine the \textit{quasinormal}
modes of massless scalar perturbations using two approaches: the WKB
approximation and the P\"oschl--Teller fitting method. Our results indicate
that stronger non--commutative parameters lead to slower damping oscillations
of gravitational waves and higher partial absorption cross sections.
Furthermore, we study the geodesics of massless and massive particles,
highlighting that the non--commutative parameter $\Theta$ significantly impacts
the paths of light and event horizons. Also, we calculate the shadows, which
show that larger values of $\Theta$ correspond to larger shadow radii, and
provide some constraints on $\Theta$ applying the observation of Sgr $A^{*}$
from the Event Horizon Telescope. Finally, we explore the deflection angle in
this context.
