What does multi-dimensional even mean, in the context of intelligence? Sounds like a buzz word.
Alexa, for example, is an Artificial Narrow Intelligence. It can process speech and then follow different scripts with instructions derived from that speech, but it often fails comically so you as the human have to talk to it just right for it to work. Not too different from a verbal command line.
Meanwhile a human personal assistant has general intelligence. You can just tell them what you want and they can understand and figure it out.
I'd venture that your coda nullifies the "Intelligence" part thoroughly and completely. She's an "Artificial Smart Assistant", at best.
Emotional
Logical
Intuitive
Social
Computational
Instinctive
Sexual
Experiential
and I can keep going, but you should get the point.
This isn't true. We have overwhelming evidence that these "skills" originate in different parts of the brain in all humans and if we disable those parts, those "skills" disappear. Those parts of the brain are unique and have their own structures. There is strong evidence that they require unique "hardware" and as such, are a "special kind of intelligence".