What is the name of a Maltese cockapoo mix?

We have an adorable Cockapoo-Beagle mix, and we lovingly call her a "Cockapoogle", just something we made up, of course. My fil teases "Ba-Spoodle". I did see somewhere on the internet, and I can't recall where, that it is a "Coodle", however, when I checked, I found that is the name of a Border Collie and French Poodle mix. There probably isn't a name for this mix, because a Cockapoo is already a mix breed dog.