Product management is what it always was: identify what will make the product successful, and orchestrate the company toward it. The four senses underneath the craft (sense of customer, sense of business, sense of execution, sense of judgment) have not changed. What counts within each one has changed considerably.
The essays below redraw the skills map for the AI era, distinguish the half of the job AI eats from the half it exposes, audit the levels of leverage actually available to a PM working with AI, and warn about the trap of getting better at AI use while getting worse at product.