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This article presents a mathematical model for dual-hop energy-harvesting-enabled three phase two-way decode-and-forward relaying network with mixed fading scenarios. Specifically, we focus on the Nakagami- distribution in the first hop and Rayleigh distribution in the second hop to derive a closed-form expression of user outage probability. We examine the impact of transmission power, signal time allocation, and power coefficients on outage probability. In addition, we use Monte Carlo simulations to validate our mathematical analyses.