She may have assumed that the chat conversation was private, but it wasn't. She sent a message of intent to harm and a human received the message.
Yes but the law usually evaluates the application of a statute within the context of someone's mental state. This is why you are not guilty of battery when you trip and accidentally bump into someone. https://en.wikipedia.org/wiki/Mens_rea
They didn’t receive it, they secretly extracted it by spying on her.
Saying that she “sent a message” is both literally true and obviously intellectually dishonest.
The Florida statute requires that it be transmitted in a manner that can be viewed by another person. If you have no idea that someone could view your communications with a chatbot, did you really intend to break that specific law? Technically, that threat was communicated to another person but not through her own intentions.
There was no intent for a human to read the message. By your logic, if she wrote a threat in a diary and a burglar broke in and read it, it would be a crime on her part.