A passive tap/monitor setup is the correct solution because it allows network traffic to be inspected without inserting the monitoring device directly into the path of the network data flow. This setup ensures that traffic continues to flow unimpeded even if the monitoring system fails, meeting the organization's requirement to avoid interrupting traffic. In contrast, an inline device, while it can actively block or modify traffic, would introduce a single point of failure where traffic could potentially be stopped if the device encounters issues.