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Excellent breakdown of a seemingly minor decision with major implications. Your framing of the unchanged student plan as a long-term funnel strategy is insightful—it reveals how subscription economics have matured beyond simple price optimization. The chess game metaphor is apt: while competitors focus on extracting immediate revenue from existing users, Spotify's willingness to sacrifice near-term dollars here suggests confidence in lifetime value calcuations. One nuance worth considering: this strategy assumes the student-to-graduate conversion happens at predictable intervals, but market volatility and competition between platforms might compress those timelines.

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