  We investigate the phase transition within an extremely strong magnetic
background field, employing a holographic Quantum Chromodynamics (QCD) model
with a focus on entropy and pressure properties. At relatively modest magnetic
field strengths, our study discerns a crossover transition between the normal
phase and the Quark-Gluon Plasma (QGP) phase as the temperature rises. In
contrast, under the influence of an extremely strong magnetic field, a
first-order phase transition is observed. A critical point is identified at $
(eB_c, T_c) \approx (2.8623 \, \text{GeV}^2, 0.1191 \, \text{GeV}) $, which
corresponds to a second-order phase transition. This phase structure is found
to be in qualitative agreement with lattice simulation predictions reported in
[Phys. Rev. D \textbf{105}, 034511 (2022)]. Furthermore, we explore the impact
of the magnetic field on the jet quenching parameter across various phases. At
zero magnetic field ($ eB = 0$ ), the normalized jet quenching parameter $
\hat{q} / T^3 $ exhibits a monotonic increase with temperature. However, in the
presence of a magnetic background field, the normalized jet quenching
parameters not only display directional anisotropy but also experience a
universal enhancement, particularly in the vicinity of the critical temperature
region. This observation suggests that the jet quenching parameter could
potentially act as an indicator of phase transitions.
