One robots.txt token, Google-Extended, governs Gemini training and grounding. It does not touch Search, so a site can be visible in AI Overviews and not in Gemini.
The short answer
Gemini grounding draws on the Google Search index, so your page must be indexed. Google says disallowing Google-Extended stops content being used for Gemini training and grounding, and does not affect Search inclusion. To be cited by Gemini, keep Google-Extended allowed and make pages answer the question directly.
What ranked on 26 September 2026: Guides copy advice written for AI Overviews. Almost none mention that Google-Extended affects Gemini grounding, the one control that differs between the two.