No facet source with core search

Maybe update the error message with something like:

Before adding a facet, there should be a facet source. Facet sources can be:
- Drupal core's search.
- A view based on a Search API index with a page display.
- A page from the search_api_page module.

Having the same issue on Drupal 9.5.8 with Facets 2.0.6. Core search enabled, indexed, and correctly outputting to /search/node. Yet Facets config reports no facet sources, and admin/config/search/facets/add-facet results in the same. No errors or warnings in Watchdog.

Same here, do we know if the module actually supports core search