None of the above. It's classified as a large language model.

I'd say you put the cart before the horse.

Commercially viable technology is "superhuman" in some sense. That is, tractors and combine harvesters changed everything in agriculture because... they are superhuman. Bulldozers are superhuman, pocket calculators are superhuman, etc. If something isn't superhuman in some narrow sense, humans will just do the job!

Note the gap you talk about between 2 and 3 is a real gap. In the 2010s I was working on (basically) reverse centaur systems that were intended to get radical productivity improvements on specific tasks. I didn't see "Gen 2" systems talking to ordinary people were even possible, at least not until we built a workable world knowledge and language facility via that reverse centaur path: expert input developing the outline of the world model and setting the standards for performance and quite a bit of mass input tagging and evaluating and making judgements that the system couldn't yet been trusted.

As for 4 I don't believe in recursive self-improvement, not like you can't use today's AI to accelerate the progress of tomorrow's AI but it is an evolutionary but not revolutionary change and the limits are fundamental to physics, economics and the nature of intelligence itself. Basically you have heard of this differential equation

  dx
  -- = x
  dt

as representing exponential growth as seen in ecology and economics, but you never hear of the equation that describes recursive self-improvement

  dx
  -- = x^2
  dt

not even from true believers in recursive self-improvement because (1) there are no examples of it because it is unphysical, uneconomic and non-sensical, and (2) any serious discussion of why (1) is will lead to numerous refutations of recursive self-improvement, "the singularity" and such.

To be specific right now, take a look at the semiconductor industry which has been stuck for almost 10 years. For a long time people talked about Moore's Law and the consequences of being able to make smaller transistors exponentially over time. Looking back though, the real issue is that we've gotten cheaper transistors over time. If they don't get cheaper it doesn't matter if they are smaller or faster because you can't afford them. It used to be a video game console was always the most expensive on Day One but it's not true anymore. It is fashionable to blame this on the pandemic or the AI boom, but the real problem is that those EUV machines from ASML cost too fucking much and are just barely economically viable. The industry is stuck, does not have a clear path forward. Maybe AI can increase our capacity 10x but if the problem is 10x harder you don't get "singularity" growth you get a continuation of the old exponential growth.