Monterey and iOS 16 Break Brother Printers and AirPrint?

Remove the Brother printer from the Printers & Scanners panel, and re-add it as an AirPrint device. My Samsung ML-2955ND did not work after an upgrade from an earlier version of Monterey to 12.6 and after I did the first sentence, it worked perfectly.

In my case, when I removed the printer, a new panel appeared showing the Bonjour detection of the printer. I selected that printer entry and then the Use: selector automatically changed to Default, or AirPrint depending on the version of macOS. You should not need to manually select anything as it is done for you. Then you just add the printer back and it should be using AirPrint.

Hello,

Also, macOS 10.15 Catalina appears to be the latest supported system for a printer driver from Brother for this model.

https://support.brother.com/g/b/downloadlist.aspx?c=us_ot&lang=en&prod=hl3170cdw_all&os=10060

Even if a Catalina driver possibly would work with one or two newer macOS versions, a normal recommendation from the printer manufacturer (for other models) would be to use AirPrint for Monterey.

>I cannot add the printer nor print to it from either Mac or iOS devices

If the problem returns, device discovery difficulties with AirPrint could be the reason. In such a case, you may want to try the following procedure (in this order, with these waiting times):

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.

How is your HL-3170CDW connected to the Wi-Fi router? If wirelessly, you could perhaps try to wire the printer by Ethernet to one of the LAN ports instead. AirPrint works with wireless (Wi-Fi) or wired (Ethernet) network connections.