Auto-focus fits the explicit Ask Gemini action, but it should come with a predictable focus contract: announce the panel to assistive technology, place focus in the prompt, and let Escape return it to the previously selected page element. A keyboard shortcut that opens and focuses the panel would make the intent even clearer than a context-menu path. The useful metric is not clicks alone but time-to-first-input, focus errors, and how often users type into the page by mistake.