I sometimes approach this like I do with students. Using your example, I’d ask it to restate the source, then ask it to read the title of that source directly. If it’s correct, I might ask it to briefly summarize what the source article covers. Then I would ask it to restate what it told me about the source earlier, and to explain where the inconsistency lies. Usually by this time, the AI is accurately pointing out flaws in its prior logic. At that point I ask again if it is 100% sure it didn’t make a mistake, and it might actually concede to having been wrong. Then I tell it to remember how and why it was wrong to avoid similar errors in the future. I don’t know if it actually works, but it makes me feel better about it.