Archaeologist: A skeleton of a North American mastodon that became extinct at the peak of the Ice Age was recently discovered.
Conclusion
The first Eurasian settlers in North America probably came from a more distant part of Eurasia.
Evidence
We found a mastodon, which went extinct at the peak of the Ice Age, with a human-made projectile in it. The projectile wasn't like anything we've ever seen from the part of Eurasia closest to North America.
Eurasians didn't settle in North America until shortly before the peak of the Ice Age.
Evaluate
This is a somewhat confusing case being made, so we should take our time to understand how the timelines are meant to work.
This mastodon we found must have lived before the peak of the Ice Age, because by the peak the mastodon species had gone extinct.
The first Eurasian settlers didn't arrive in North America until shortly before the peak of the Ice Age (so there were probably still some mastodons left; they hadn't yet gone fully extinct).
Those two pieces of evidence are meant to establish that Eurasians had an opportunity to be on North America while there were still mastodons present, but barely.
For the author, that increases the likelihood that whatever projectile we find in a mastodon was probably put there by some of the first Eurasian settlers. That's where that New Term in the conclusion is coming from.
In terms of the other New Term in the conclusion, a more distant part of Eurasia, this comes from a couple assumptions the author is making: 1. If it's a human-made projectile, it's gotta be from a Eurasian human settler (she's failing to consider that it might come from humans already indigenous to North America)
2. If it's a projectile we dissimilar to any we've found in nearer-Eurasia, then it must have home from more distant-Eurasia. (she's failing to consider that maybe it's still from nearer-Eurasians, and this just happens to be the first found artifact of its type)
Goal
Since the author is explaining a Curious Fact (where did this strange human projectile come from?) by saying "it probably came from distant-Eurasians", we can weaken her argument by ...
suggesting an Alternate Explanation for the projectile undermining the plausibility of the hypothesis that it came from distant Eurasia
But in addition to the Curious Fact / Explanation thing going on here, the author is also committing to the idea that not only is this weird projectile from distant-Eurasians but that those distant-Eurasians were the first Eurasians to settle in North America. So we could also weaken the argument by calling that notion into doubt.