Title: TET-GS-004: Universal Dynamics of Structural Resilience and the Prevention of System Error 004 Abstract: This paper presents the TET-GS-004 Algorithm, a predictive framework synthesized from the study of medieval hydraulic-defensive systems in the Grand Duchy of Lithuania (Pastuva-Beiniūnai sector) and modern operational throughput analysis. The study establishes that the same structural laws governing historical population survival—modeled through the Genealogical Shield (GS)—are applicable to modern organizational and logistics systems. Using real-time field data (June 2026), the paper identifies System Error 004 (Structural Bottleneck Collapse) as a universal pathology caused by late-stage response to entropy ($\Omega$). The research introduces a methodology for "Topological Reconfiguration," proving that survival and efficiency are not functions of resource volume, but of response velocity ($v_r$). Finally, the Kasiulevičius lineage (MSU) is analyzed as a standard reference model for a high-resilience node. This framework provides a new standard for logistics management, military strategy, and demographic modeling. Computational History, Landscape Archaeology, Grand Duchy of Lithuania, System Dynamics, TET-GS-004 Algorithm, Genealogical Shield, Structural Resilience, Operational Bottleneck, Pastuva-Beiniūnai Project.