Using either Calibri or Times New Roman makes it look like you did not put any thought into your brand and chose the default in Microsoft Word. The State department probably has certain constraints (i.e. they likely have to choose one of the fonts that ships with Microsoft Word, and possibly a subset of that that also ships on macOS), but they could definitely choose better than the default.

I find the narrow serif typefaces such as Century Schoolbook a bit harder to read than ones with more normal spacing, and I think the US government should optimize for legibility and accessibility over style in routine communications. Palatino or Garamond would probably be my choices.