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The emerging dynamic Virtual Reality (VR) applications are the best candidate applications in high bandwidth indoor Terahertz (THz) wireless networks, with the Reconfigurable Intelligent Surface (RIS) devices presenting a breakthrough solution in extending the typically short THz communication range and alleviating line-of-sight link blockages. In future smart factories, it is envisioned that factory workers will use VR devices via VR application data with high quality resolution, while transmitting over THz links and RIS devices, enabled by the Mobile Edge Computing (MEC) capabilities. Since indoor RIS placement is static, whereas VR users move and send multiple VR data download requests simultaneously, there is a challenge of proper network load balancing, which if unaddressed can result in poor resource utilization and low throughput. To address this challenge, we propose a parallel downlink data distribution system and develop multi-criteria optimization solutions that can improve throughput, while transmitting each downlink data flow over a set of possible paths between source and destination devices. The results show that the proposed system can enhance the performance in terms of throughput benefit, as compared to the system using one serial download link distribution.