I had the same issue, until found Mapbox public styles on this page: https://docs.mapbox.com/api/maps/styles/
where you can click "Add to your studio" to start from there.
Styles page
All the layers within selected style are listed in the left pane of studio, where you can edit or add more layers, save and publish the style, and follow the official tutorial to add the style to QGIS or ArcMap. Then you should be able to see the loaded basemap.
Studio page