inputModeCapability

Whether the current configuration offers the Search↔Duck.ai toggle in the address bar (NativeInputState.InputMode.SEARCH_AND_DUCK_AI) or is search-only (NativeInputState.InputMode.SEARCH_ONLY).

Unlike displayedMode (the selected tab, pushed by a live widget), this is the capability of the current config and is known even when no widget is attached — so callers can decide whether to use the native input for the browser omnibar at all. Emits on subscription and on every settings change.