Modular GSAP Timeline Registry for Large-Scale SPAs

Act as a Principal Frontend Systems Architect. Develop an enterprise-grade, highly modular animation registry system designed for a massive, heavily routed [COMPONENT_STRUCTURE] (e.g., Next.js or Nuxt app). Engineer a Singleton pattern where every isolated UI component programmatically registers its own distinct sub-timeline into a master timeline registry mapped by a [GLOBAL_STATE_KEY]. Implement rigid [ANIMATION_HOOKS] governing exact life-cycle events (e.g., `onEnter`, `onIdle`, `onExit`) to synchronize page transitions perfectly. Crucially, dictate an absolute [CLEANUP_STRATEGY] utilizing `gsap.context()` or `useEffect` return functions ensuring all tweens and ScrollTriggers are violently killed and garbage-collected when components unmount, preventing catastrophic memory leaks.