A comprehensive description of open-heavy flavour observables in heavy-ion collisions within a transport approach

<!--HTML-->We present recent developments of the POWLANG transport model for the study of heavy-flavour (HF) production in heavy-ion collisions. In particular we focus on the results of recent/ongoing work concerning: 1. Event-shape engineering studies of D-meson distributions; 2. Full 3+1 transport simulations validated against soft-particle production data. The realistic 3+1 hydrodynamic background allows us to study the HF directed flow v_1 and the HF decay muons at forward rapidity, so far neglected in most theoretical calculations. ; 3. Medium-induced changes in the HF hadronization, accounting for 4-momentum conservation, space-momentum correlations and modification in the HF-hadrochemistry, this motivated by the experimental data on the production of D_s meson and Lambda_c baryons.