When the time comes for your young to fly the nest, one must not hold them back. This appears to be Amazon’s approach to parenting, amid the realization that its sports streaming business has outgrown its Prime Video home. Newfound autonomy lies ahead, as reports swirl that Amazon is developing a dedicated live sports platform separate from its core Prime Video application, as first reported by The Information. Truth in the rumors would signal a significant coming of age story for Amazon Prime’s sports streaming sector – one that seemed a trivial experiment when the retail giant first started shopping around for sports rights in 2016. Amazon started slowly but surely, initially spending a modest $50 million on non-exclusive Thursday…