I think I’ve mentioned this before, but this icon is extremely poor at communicating that you can start a chat with the response from a form-based Pickaxe. No one in my experience has ever guessed that intuitively, and they are missing out on a powerful feature if they never even realise that until it is pointed out to them. I also think this option should be much more attention-grabbing with a larger icon even, almost engaging users to continue the conversation if they so choose.
From the UX perspective, the way I would reason this out is that the form is a way to provide structured inputs to LLMs so that they can then give more useful answers, so continuing the conversation from this structured input/response should be a core feature, not treated like a nice-to-have feature.