To make it more concrete how this sort of thing can get complicated quickly, consider your own explanation of the case. As I take it, you think that the issue is that "the justification is faulty". But how is it faulty, besides not being true (remember, we have reasons to want justification to not imply truth)? And also, there are Gettier-like cases where we cannot say that justification is faulty or where we can't find false premises (for example, cases where it seems like the problem is that the individuals in questions are not in an appropriate environment, see [here](https://en.wikipedia.org/wiki/Gettier_problem#False_premises...)).