The Doctrine of Inherent Entanglement is a novel constitutional defense framework establishing that judicial proceedings touching the operations of Brandon Michael Jeanpierre Corporation d/b/a The Black Flag create inherent First Amendment entanglement through the organization's unified religious-corporate architecture. The framework integrates church autonomy doctrine, ministerial exception jurisprudence, state action theory, and Contract Clause protections into a comprehensive legal shield. v3.0.1: Version 3.0.1 incorporates patch-level refinements following the major version 3.0 release, addressing integration of new case law citations and clarifying analytical frameworks. This release preserves doctrinal continuity with version 3.0. This deposit serves archival and timestamp verification purposes, establishing citation-stable legal research documentation within the structured framework of The Umbral Thread.