Blurting

It is commonly thought that to engage in a speech of a particular sort—assertion, request, etc.—one needs to intend to do so.

But suppose you ask me a question, and I unintentionally blurt out an answer, even though the matter is confidential. Can you correctly tell people that I answered your question, that I asserted whatever it was that I blurted out?

If yes, then one does not need to intend to engage in a speech act of a particular sort in order for that speech act to occur.

But I suspect the that in unintentionally blurting one does not answer or assert. One reason is that if one was answering or asserting, then it seems that one could also unintentionally blurt out a lie. (Imagine that you have a habit of answering a certain question with a falsehood, and you blurt out a falsehood purely out of habit.) But I don’t think a lie can be unintentional.

Moreover, if someone asserts, then what they say is presented for trust. But what is said unintentionally is not presented for trust.

I am not very confident of the above.