How to outline or expand stroked text?

Hello.

I use Ai to create cut files for my Cameo cutting machine. The font I want to use is too thin so I have applied a stroke to the text to make it thicker. However, when I expand or outine the text, it doesn't expand to the outside of the stroke but only to the original text. This is a problem considering the Cameo reads lines for cutting rather than colors, if that makes sense. I need to cut it at the edge of the stroke not the edge of the original letter. Is there a way to expand it to include the stroke?

Thanks in advance.