Asking non-leading questions is a skill. Sometimes I feel the urge to mention something to AI (in a question or in passing), but I stop myself because I know it will stick to that thing and become dumber because of it.

I usually don't want AI to ask me questions. I want it to guess the things I didn't specify, because if I wanted to specify them, I would. Sometimes I even tell it directly to not ask me any questions and assume reasonable choices for underspecified things. But when I do want it to ask clarifying questions I just ask it to do that. And it does. If you prefer that style, you might put it in a prompt. Or use a flexible coding harness like pi and ask it to create a skill or extension that will help you push it in that inquisitive direction easily or automatically.