Some Airturn devices (recent models*) now work with iReal Pro (Mac) by installing their app Airturn manager (available from the Mac App Store)
Set a key command in iReal Pro menus (e.g. Play, Stop, down arrow, volume up/down) and assign for each pedal/button your Airturn device has.

* as at August 2022: PED, PEDpro, Digit III, BT200, BT200S, Quad200
(presumably new models will be supported also into the future)

For more information:
Find the Airturn manager at the Mac App Store, which will have up-to-date details