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"Someone trained an AI on Bluesky posts."
I remember that that was the rough excuse for Twitter / Reddit closing their APIs, in large part because they weren't getting a cut from it.
For better or worse, anything that goes up onto social media should probably be assumed to be public. Don't rely on it to provide any privacy to you.
I don't think they will close the API (or not yet) but I could see more restrictions on it's use coming down.