This is what the cited source https://www.defensivedriving.org/dmv-handbook/right-of-way/ says:

"Arriving at a stop sign (staggered): We try to keep our driving laws as simple as possible, so uncontrolled intersections can usually be navigated successfully using the “first come, first served” ideology. Basically, whoever arrives at the intersection first has the right of way. If you arrive first, that’s you! Just make sure you come to a complete stop and know what other drivers might be doing. Just because the rules are simple doesn’t mean everyone follows them."

I don't know where ChatGPT got what it gave you.