I prefer "to go" over "takeaway" for two essentially meaningless reasons:
First, _go_ is older than _away_. According to Etymology Online, go dates back to Old English ("gan"), while away in sense of "at a distance" is from 1712. Second, I get to save a syllable.
So "to go" is older and less effortful than "takeaway". Also, both work.
They never deviate from this exact script and I find it grating every single time. Coffee is decent though so I let it slide.
Edit: “local” meaning Southern California.