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In this work, we present Dyna-5G, a dynamic, self-organizing 5G New Radio (5G-NR) network designed for massive Machine-to-Machine (M2M) networks. Traditional 5G NR networks, characterized by their centralized architecture, face challenges in supporting applications that require dynamic, decentralized communication, such as autonomous vehicles and drone swarms for emergency responses. These scenarios often suffer from the centralized model's single point of failure, undermining the reliability required in critical and fully autonomous applications. Dyna-5G addresses these challenges by allowing each device in the network to function as either part of the Radio Access Network (RAN) and Core Network, or as User Equipment (UE), thus maintaining network functionality even when conventional infrastructure components are compromised. Dyna-5G has built-in mechanisms carefully designed specifically for M2M networks, such as failure-recovery and ad-hoc entry and exit. We demonstrate the performance and feasibility of Dyna-5G using a custom-built testbed that simulates real-world missions, demonstrating our network's robustness, adaptability, and failure recovery capabilities. The results indicate that our entire 5G network model can fully re-organize in 6 seconds at maximum, without compromising the mission.