You should be looking for a quick connect adapter suitable for Badger, the thread is Badger specific so you will only find it in airbrush outlets. Here’s one, but there are plenty other sources;
What you need is the Grex AD19 Quick Connect Plug (nipple) for Badger Airbrush from Chicago Airbrush Supply. It is only $3.50, but you will pay 2+ time more for shipping. The Badger makes a similar part too, but it is almost impossible to find.
It is best to ask your Patriot seller to order one for you. Local pickup may the cheapest way to go.