Real-time screen mirroring from iOS to Google TV (Chromecast with Google TV) is challenging due to latency and protocol limitations. Please note:

Google Cast SDK: Does not support real-time screen mirroring, only media casting. WebRTC Support: Google TV does not natively support WebRTC, so direct low-latency streaming is not feasible. ReplayKit + Streaming: Capturing the screen using RPScreenRecorder and streaming via HLS introduces significant latency. RTSP/UDP Streaming: Google TV does not natively support RTSP, making direct streaming difficult.

Alternative Approach: Use a custom receiver app on Google TV to handle a low-latency video stream. Stream the captured screen using WebRTC (if a receiver is implemented on Google TV) or low-latency DASH. Consider third-party solutions like AirPlay-compatible apps on Google TV.

Since native support is limited, a custom streaming solution with a WebRTC receiver or a low-latency protocol may be required.