Large Language Models (LLMs) have emerged as promising tools for reducing the cognitive burden associated with interpreting operational data in modern distributed systems. However, their probabilistic behavior creates challenges when LLM-generated decisions are directly connected to operational tools, particularly in cloud-native environments characterized by microservices, continuous deployment, and rapidly increasing volumes of observability data. This article develops and examines a two-phase architecture that separates intelligent routing from deterministic execution. The routing phase uses multi-agent coordination to interpret incident context, identify relevant workflows, and select appropriate operational actions, while the execution phase invokes authorized tools through schema validation, constraint enforcement, and controlled interfaces. The architecture is designed to bound LLM decision-making without eliminating its ability to handle complex and variable incident scenarios. Evaluation of the proposed design across incident management, network infrastructure optimization, and cybersecurity automation indicates that the separation improves operational control by restricting probabilistic reasoning from directly exercising operational authority. The constraint-driven execution layer also supports reproducible tool invocation, offline evaluation, localized failure diagnosis, and auditable decision paths. Across the examined application domains, the architecture demonstrates how LLM-based reasoning can be integrated with deterministic operational mechanisms while preserving human oversight and system reliability. The findings indicate that separating probabilistic cognition from operational execution provides a practical architectural mechanism for reducing hallucination-related risks and improving the controllability of LLM-enabled automation. The proposed approach, therefore, establishes a foundation for operational intelligence systems that can move beyond reactive manual processes toward more autonomous and proactive incident management while maintaining traceability, constraint compliance, and human governance as operational complexity continues to increase