The final version for Android 4.4 was released around (Version 23.x.x).
Then, the owner spoke. "Not yet. I'm not giving up on this old girl." google play services apk android 44
This is why searching for is a rescue mission. You need the last build that Google ever released for KitKat. The final version for Android 4
Google no longer releases new versions of Google Play Services for KitKat. The last compatible version is version 23.30.99 (released in early 2023). google play services apk android 44