Not being 100% algorithmically or mathematically derived is a good start. I’m certain there’s more but to me this is a minimum bar.

If your brain is not running algorithms (which are ultimately just math regardless of the compute substrate), how do you imagine it working then, aside from religious woo like "souls"?

I dunno, I think artificiality is a pretty reasonable criterion to go by, but it doesn't seem at all related to originality, nor does originality really stack up when we too are also repeating and remixing what we were previously taught. Clearly we do a lot more than that as well, but when it comes to defining creativity, I don't think we're any closer to nailing that Jello to the tree.

sure and physics is all strings and pure math at the the most fundamental level; kind of misses the point.

If that's your take, then you need to explain how the gap between this fundamental level and the level that you're concerned with is different in those two cases.