What's the criteria for a species to be considered introduced?

I recently uploaded two observations that in my mind don’t have the correct tag for “introduced by anthropogenic means”
So I was wondering if these tags are curated or is an algorithm that puts them on the basis of the distance to the natural distribution regions.

  1. https://www.inaturalist.org/observations/27543806
    Rufous-backed Robin [Turdus rufopalliatus]. This observation is very very close to the range and the range includes habitats very similar to the forests in Mexico city. From where it comes the tag that was introduced by humans?

  2. https://www.inaturalist.org/observations/27543805
    Green Jay [Cyanocorax yncas]. This species wasn’t reported in Mexico city until recently and people believe they escaped, but still is not flagged as introduced by humans. Their range is not beyond the mountain ranges that flank the central Mexico mesa.

Thank you for your feedback

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The establishment means status is curated by hand, by Place. Anyone can update this, preferably citing the justification / authority. E.g. you can search the checklist for DF to find a species like green jay (search box on top right hand side), select the species, and update its establishment means.
https://www.inaturalist.org/check_lists/96512-Distrito-Federal-Check-List

(I could not spot a Place with a boundary for Mexico City, only many points within the city)