Comments below explain the OP posted their work online first and that their underlying question is about priority, in particular, is priority awarded to the first author(s) to make their work public or the first author(s) to formally publish their peer-reviewed work? My original answer to the original question appears below, and my answer to the aforementioned question is as follows:
Priority is rather contentious. Ultimately, no one can deny that a work publicly available before another takes priority, regardless of whether one work is formally published after peer-review and the other was merely part of the public record. Moreover, no one can deny that authors of the second work had an advantage. Nonetheless, some will argue that being first doesn't matter; being formally published does. But, they still cannot deny the previous statements. Thus, they can only make claims such as "this is the first published, peer-reviewed work that ...," which implicitly acknowledges that the work isn't first. I recommend avoiding such claims altogether and mentioning related work, regardless of whether it is formally published.
You open by explaining
...The contribution of my paper is that it's the first non-North American analysis on the subject.
There is a working paper...from a doctoral student in another university...who looks outside of North America.
So, your claimed contribution is seemingly a lie: It's [not] the first non-North American analysis on the subject.
(I don't understand how a paper can contribute simply by conducting analysis in a new geographical region; to contribute, you surely need to bring new science. I'll proceed regardless.)
I did not reference their paper in my research, because I don't think it's right that I should forfeit my contribution for an incomplete paper that doesn't seem to be heading to a journal and undergo peer review.
I consider that to be morally and ethically wrong. You should rightly forfeit your claim of first non-North American analysis, because by your own admission, you aren't first.