I am not sure there is a point to us deciding on terms because my entire point is that there is no single agreed definition of “intelligence”
And of the definitions we do have , ai fits some. I give you an example above from wikipedia. But there are many reasonable ways one can argue the current definition work. Regardless of that definition being actual correct.
I really like the example of how the turing test was considered proof a computer can think of a human. Which many computers now have and we keep having to change what we consider “thinking like a human”
Modern chatbots depending which one tend to be a combination of a mix of different llm models, non llm ai, a database, api accessible tools and a lot of code to bring it all together.
But if your a little tech savy you can just spin one up and build your own however you like.
Google actually has one that does not use an llm at all but diffusion generation instead. It creates the text output similar to how image generation creates a picture. Mind though i don't think this is much better but maybe combined it might be.