Since the Play Store may no longer automatically update on such an old OS, you can manually download and sideload the APK from reputable repositories: APKMirror – Search for version 23.30.13 specifically.
The Google Play Services APK is a system app that provides a range of services and APIs for Android apps to interact with Google's services. It was first introduced in 2012 and has since become an essential component of the Android ecosystem. The APK is responsible for managing Google accounts, providing location services, and enabling apps to access Google's services, such as Google Maps, Google Drive, and Google Play Store.