  We deploy a kinetic-rate equation to evaluate the transport of $J/\psi$,
$\psi(2S)$, $B_c$ and X(3872) in ultra-relativistic heavy-ion collisions and
compare their production yields to experimental data from the Large Hadron
Collider. The rate equation has two main transport parameters, i.e., the
equilibrium limit and reaction rate for each state. The temperature-dependent
equilibrium limits include charm- and bottom-quark fugacities based on their
initial production. The reaction rates for charmonia, bottomonia and $B_c$ rely
on charm- and bottom-quark masses as well as binding energies from a
thermodynamic $T$-matrix approach. For the X(3872) particle, its internal
structure information is encoded in reaction rates and initial conditions in
the hadronic phase via two different scenarios: a loosely bound hadronic
molecule vs. a compact diquark-antidiquark tetraquark.
