Schools are slow, by the time the teachers get around to teaching the sophisticated techniques you use today, those techniques will be obsolete, the new AI models will require completely different style of prompts.
As for critical thinking and reasoning, those are even harder to teach. How can teachers teach what they don't know?
And that means you have to learn without AI to understand when the AI is wrong. This is just how its dangerous to use a calculator without knowing math since you wont spot when you entered things wrongly etc.