There has been extensive discucssion about this topic on the forum in the past e.g.
https://forum.inaturalist.org/t/wild-vs-planted-vs-naturalized/26739
https://forum.inaturalist.org/t/at-what-point-does-an-anthropogenic-introduction-become-wild/2221/6
I highly recommend reading these threads as they will probably help answer some questions.
In your example, I’d personally call it wild since it is reproducing and spreading outside of human management, but these things always tend to be a gray area.