Putting aside the issue of actually making it into a sustainable system, do you have any idea how you'd fund such an endeavour? A system capable of doing what you're asking it to would be an order of magnitude more complex than ChatGPT - and just one machine out of the thousands running the training process alone is buy-a-decent-house money.
On top of that, in order to get as far as raising money like that, you need to be able to demonstrate a fully-working prototype, not just an idea in a notebook (or even a fully-costed business plan). If you're not an expert...who's going to build it? AI isn't your standard development tool, it requires real (and deep) mathematical understanding, as well as constant maintenance and tweaking for a service like that.
And...finally, your concept doesn't even work if you don't have a sufficiently large pool of experts backing it. That's gonna be your main problem, I think; that's a population of high-net-worth individuals, for whom time is incredibly valuable, and you're going to have to somehow persuade them to spend that time on your puzzles. I would guess that's going to cost you as much as the compute resources will. And don't forget someone's going to have to check the final solutions returned to the users, because - as we all know - the #1 problem with AI answers is that when they get it wrong, they're absolutely 100% confident that they're right.
It's an interesting concept, but it strikes me as the sort of thing that's destined to fail on financial, conceptual and engineering grounds.
If you really think you're on to something, though, then you need to prove the basics of the concept. Act as the AI yourself - take a real-world set of requirements, and convert them into a puzzle for a set of friendly experts. Get them to solve those puzzles, then translate the solutions into a single response to the original requirements.
If you can't do that - whether it's because you can't come up with a way to create the puzzles, or a way to translate them back, or even if you can't find the friendly experts - then you're tilting at windmills.
If you can, spend another year writing a white paper on it and come up with a business plan.