Hot foil blocking is what you need but that’s not a very useful answer as we don’t have a machine at the space! We do have a small nipping press that might be useful though. is everything already bound our have you still got the covers off the book block?
You could give the heat press a go. Milling a aluminium plate might be an option on the mini cnc as its heat transfer foil? might want to put in some sacrificial cheeks in the press and run a few temp tests though.