macOS Monterey and Brother printer

Hi,

The Brother DCP-9015CDWE is listed in About AirPrint - Apple Support. An AirPrint-enabled model is compatible with macOS, and can be used without additional drivers, provided that the printer and the Mac computer are connected to the same network (Wi-Fi router).

If there is a problem with device discovery in connection with AirPrint, the following power-cycle procedure (in this order, with these waiting times) can be tested: Power off the Wi-Fi router, the printer, the Mac, and all other devices/computers. Wait two to three minutes. Power on the router. Wait two to three minutes. Power on the printer. Wait a minute or two. Power on the Mac. Finally, power on all other devices/computers.

Add a printer to your printer list so you can use it on Mac – Apple Support (UK)

Reset the printing system on your Mac to solve a problem – Apple Support (UK)

Edit: Deleted my post as it seems @Jan Hedlund beat me to it with more accurate information confirming this printer supports Air Print.