Great fact-check! You covered the key points well. One thing to consider: while caffeine withdrawal is a well-documented cause of headaches, the idea that caffeine itself causes dehydration-induced headaches is debated. Research suggests that caffeine’s diuretic effect isn’t strong enough to cause dehydration in regular users. Also, caffeine metabolism varies by individual, which explains why some people are more prone to headaches from it than others. The claim that caffeine helps with headaches is solid, especially since it's included in pain relievers to boost effectiveness. However, overuse can lead to medication rebound headaches, which is an important nuance. Overall, this is a well-supported claim, but adding sources or discussing individual variability could make the fact-check even stronger. Nice work!