Regarding your question, of course, the CodeWarrior for mcu ver11.x tools provides the Flash programming function, pls refer to the following screenshot:
As you know all the following tools are third party tools, I am not sure if they can program flash of MWCT1013VLH IC, I think the MWCT1013VLH IC. is the same as MC56F84789, if it includes the MC56F84789, it is okay.