If you use an LLM, you aren't solving a thing. Just as people who post about how "I built" some vibe coded thing are lying to themselves. You didn't do the thing, the LLM did the thing.
I can't lift a car, unless I use a jack. Mathematicians use theorem provers. Software developers use IDEs. Programmers would be pretty screwed if their keyboards had a 0 and a 1 on them and nothing else. Tools evolve.