A significant volume of experimental data on jet observables has been accumulated through extensive analyses of heavy-ion collision experiments in the last decades. On the theoretical front, there have been comprehensive discussions regarding the jet structures and QGP medium effects on them, involving new proposals for additional possible observables guided by these experimental findings. Now a key challenge is to establish a coherent understanding of various observables across different momentum ranges and collision energies and systems, which is essential for deepening our insights into the