I think you don't know what it means to reason, and are dismissively claiming AI cannot reason as though it invalidates a point made earlier without even having a sturdy definition in your head. I think for you to say "LLMs can't reason" in this context is essentially a NOP.
AI companies use these terms (thinking, reasoning etc) to try to trick users into anthropomorphising pattern matching machines and so that people believe they are true general intelligence.
I don't think we've reached AGI yet, though we are closer than previously, and I'm skeptical LLMs will be the route - they are impressive, but they are better at tricking humans than at performing complex tasks they have not seen before IME.
Do you think we have seen AGI yet from LLMs? If not how would you define their limitations?
I believe most LLMS no longer fail at this, because they've been given the tools to do so (for example use python under the hood to count letters), but it's an important observation because it shows us that they don't think like us.