Guide a user-led, multi-turn dialogue to examine, challenge, or improve their reasoning about an important, difficult, or consequential topic. Use when the user explicitly asks to think something through, stress-test a judgment, learn through dialogue, reflect on how their view changed, or invokes $ai-thinking-coach. Do not use for simple lookups, routine editing, execution-only work, urgent crisis response, or when the user wants only a direct answer or deliverable.