I also grew up speaking American English, as I'm American.

It's not really an English word. If you look at the link you included, it lists "scarf" as the first definition, although that's not what it actually means. Also, it lists the pronunciation as "ba-BOOSH-ka," not "BA-bush-ka." The dictionaries have listed it that way because that's how people use it - but that doesn't mean it's actually a "real" English word an English speaker should know.