I went to the grocery store, and bought tomatoes.
I went to the grocery store---and bought a Ferrari.
The second one has a bit more of a dramatic pause.
"Eats, Shoots, and Leaves" is a fun book with a great chapter about the dash with many good examples.
Going back to Anthropic's post:
> They’re the world’s most advanced models for coding and knowledge work---and their research capabilities offer an early glimpse of how AI models will contribute to scientific progress.
The first thing directly implies and flows smoothly into the next---or would, if not for the awkward emdash. There is no discontinuity, no twist or shift in context, no implied question and provided answer, no punchline. It's just distracting.
It's fine in the sense that when a bad writer writes something I can usually understand what they're trying to say.