I’m having trouble getting map tiles to load, but I think adding &introduced=false to the URL might work? https://www.inaturalist.org/observations?captive=false&place_id=any&taxon_id=49588&verifiable=any&introduced=false
Depending on what you’re interested in you might need to limit it to hrank=species as well, and possibly go in and edit the establishment means, since iNaturalist definitely isn’t comprehensive about listing native vs. introduced for all taxa in all places.
If this doesn’t work and there’s no other way of retrieving this information, you can add a request to the Explore page brainstorm: https://forum.inaturalist.org/t/ideas-for-a-revamped-explore-observations-search-page/8439/