  In this paper, we present a detailed analysis of an asymptotic,
magnetically-charged, non-singular (AMCNS) black hole. By utilizing the
Gauss-bonnet theorem, we aim to unravel the intricate astrophysics associated
with this unique black hole. The study explored various aspects including the
black hole's gravitational field, intrinsic properties, light bending, the
shadow and greybody bounding of the black hole. Through rigorous calculations
and simulations, we derive the weak deflection angle of the optical metric of
AMCNS black hole. Additionally, we investigate the impact of the dark matter
medium on the deflection angle, examined the distinctive features of the black
hole's shadow, and bound its greybody factors. Our findings not only deepen our
understanding of gravitational lensing but also pave the way for future
improvements in black hole theories by minimizing restrictive assumptions and
incorporating a more realistic representation of these cosmic phenomena.
