Hi Cole,
Fresh by Google (if not noindexed) in this case would be kind of like the freshness value of a "fresh" error.
Maybe that's extreme, but point being, the content is not needed by the web, since it already exists. If there was absolutely nothing else being added to or changed about the site and my one option was adding duplicate content, I'd noindex/follow it and figure I might have gotten some small, small, small benefit from updating the site a little, maybe an improved user signal. I'd for sure keep it out of the index. I guess that's how I'd do it, if it had some value for visitors. If it's only value was adding something fresh and not that great for visitors, I'd find the extra hour necessary to re-write it into something fresh, unique and valued by visitors. .
The other thing about syndicated content is that after you make sure where else you can find it on the web via an exact phrase search in Google, it may not mean you've seen the only instance of it as it may evolve. Having duplicate content indexed with other sites of possibly low quality may put you in a bad neighborhood as sites with common content. If I had a ten foot pole, I wouldn't touch it with it.
I hope that helps. Best... Mike