- Introduce `InitializerDependencyAnalyzer` to support dependency analysis during cyclic exceptions.
- Add proactive initializer discovery with `InitializerCacheUpdater` for improved performance.
- Integrate discovery cache updates and error handling for seamless caching of found initializers.
- Extend `CyclicDependencyException` with `InitializerDependencyAnalyzer` for enhanced diagnostics and cycle analysis.
