If it were a trained monkey, and the photographer held a button in his hand that triggered the photo taking mechanism, there'd be no question of copyrightability. Similarly, vibe-coding and eliciting output from a software tool which results in software or images or text created under the specification and direction and intent and deliberate action of the user of the tool is clearly able to be copyrighted.
The user is responsible for the output of the software. An image created in photoshop isn't the IP of Adobe, nor is text in Word somehow belonging to Microsoft. The idea that because the software tool is AI its output is magically immune from copyright is silly, and any regulation or legislation or agency that comes to that conclusion is silly and shouldn't be taken seriously.
Until they get over the silliness, just lie. You carefully manually crafted each and every character, each pixel, each raw byte by hand, slaving away with a tiny electrode, flipping each bit in memory, to elicit the result you see. Any resemblance to AI creations is purely coincidental, or deliberate as an ironic statement about current affairs.