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The closest I've managed to this has been through AppleScript (which likely violates your "no accessibility tools" criteria): https://forum.keyboardmaestro.com/t/type-to-siri/13328/17

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Yeah, I guess another requirement, it should be as "invisible" as possible. So you could programmatically interact with Siri in the background and perhaps not notice.

The knowledge part is powered by Wolfram Alpha, which has an API, I believe

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