Any decent USB-B to USB-C cable will work. As would an adapter. But D.I. Johnson already pointed out both of these (I actually use those exact same Anker brand adapters for other devices).
Your bigger issue is Brother has no downloadable drivers for any Mac OS version beyond 10.15. For macOS 11 through 15, Brother tells you to use AirPrint.
In short, stop wondering about what data cable or hub to use. There are no drivers you can install to use the printer that way.
AirPrint requires the presence of a router. People get the idea that the Mac will talk directly to a printer using AirPrint. It doesn't work that way. You go into the printer's settings and tell it to wirelessly connect to your router. Then the OS can find it with AirPrint.
Also, if the AirPrint option in the printer's settings is off, you of course need to turn it on.