Since the Play Store blocks the download, many users turn to third-party sites like APKMirror to download older versions of the Netflix app.
Connect a modern phone (Android 10+) to a USB-C to HDMI adapter. Then, use your old Android 4.4.4 device to remote control the modern phone via TeamViewer or VNC. We do not recommend this. It is a science project, not a solution. netflix android 4.4.4