I'd personally choose Data Science for the technical aspect, learning data science can help you transition into the AI field, and eventually that experience can help you become a better product manager within an AI company. If we zoom out, and think about the future, I do think AI will blow up, and a lot more technical folks will be necessary so positioning yourself and hedging your skills alongside that will be valuable over the long term. PM skills are imo easier to learn than technical skillset.