To troubleshoot this problem, try a few steps. First, ensure that your printer is turned on and properly connected to your iMac via USB or network connection. Sometimes, if the printer is not properly connected or powered on, it may not appear in the list of available printers.
Next, reset the printing system on your Mac. This action will remove all printers from your system and reset printing services. To do this, go to System Preferences > Printers & Scanners, then right-click or control-click on the blank space in the printers list and choose "Reset printing system." Confirm the action, then restart your Mac.
After restarting, try adding your printer again by clicking the "+" button in the Printers & Scanners preferences. If your printer still doesn't appear, check for and install the latest drivers for your Brother HL-L8360CDW printer. You can download the drivers directly from the Brother website. Make sure to download the correct drivers for macOS Sonoma 14.2.1.
If you've completed these steps and are still unable to add your printer, it's possible that there may be an issue with your printer's compatibility with macOS Sonoma 14.2.1. In such cases, I recommend contacting Brother support for further assistance. They may be able to provide additional troubleshooting steps or guidance specific to your printer model and macOS version.
Remember, it's always a good idea to ensure that your printer's firmware is up to date as well, as outdated firmware can sometimes cause compatibility issues with newer operating systems.