  In our previous paper [arXiv:2011.07023] we have constructed a twice
anisotropic five-dimensional holographic model supported by
Einstein-dilaton-three-Maxwell action that reproduced some essential features
of the "heavy quarks" model. However, that model did not describe the magnetic
catalysis (MC) phenomena expected from lattice results for the QGP made up from
heavy quarks. In this paper we fill this gap and construct the model that
improves the previous one. It keeps typical properties of the heavy quarks
phase diagram, and meanwhile possesses the MC. The deformation of previous
model includes the modification of the "heavy quarks" warp factor and the
coupling function for the Maxwell field providing the non-trivial chemical
potential.
