Before you can install the downloaded APK, you need to allow your device to install apps from sources other than the Google Play Store:
You can download the setup files directly through a web browser without needing a working Google account on the target device. Finding the Right APK Architecture Google Play Services For Android 4.4 2 Apkpure
Google officially ended support for Android KitKat (API levels 19 and 20) in August 2023. Consequently, the official Google Play Store no longer serves the latest compatible versions of Play Services to these devices. If your device was factory reset or suffered a software corruption, the pre-installed Play Store will likely fail to update itself. Before you can install the downloaded APK, you
Once you locate the correct version on APKPure, follow these steps to install it safely: If your device was factory reset or suffered
How To Install Google Play Services On Any Android Phone - YouTube