Earlier quoted context omitted.
The thing you're authoring is just your prompt. Apply for a copyright for it. The image or text generated in reply is generated by a computer with no more input from you than someone commissioning work using very precise words, and lacks human authorship.
That's the same as saying if I open paint and draw with the mouse my mouse movements should be copyrightable but not the resulting image...
If you hand painted something in photoshop 100% you can copyright it. It has human authorship. If its mostly AI based fill, those elements can't be copyrighted. if Its 100% an ai result, its public domain.