Mission Accomplished! My printer driver now has a MirrorPrint Option, and selecting it enables Mirror Printing. For convenience (since I don’t see a client side option to flip mirror printing), I have a doppleganger of my regular printer, and I named it MirrorTest - screenshot below. When I need a mirror print, I just send it to the mirror printer.
Here’s the relevant excerpt (added) in /etc/cups/ppd/MirrorTest.ppd (I added this UI option right below the Toner option). Excerpt adds a MirrorPrint Toggle (boolean) to the printer defaults setup. When enabled - the printer will print in mirror mode.
For further convenience (making sure that a new printer installation didn’t mess up my custom changes, I also updated the relevant ppd file in /usr/share/cups/model/. Whenever you add a new printer - CUPS will use the corresponding model ppd as a base, and it will apply any settings changes from configuring default to the copied ppd file in /etc/cups/ppd/your_printer.ppd.
Hope this helps if someone else is also looking to do something similar!