Since the built-in update mechanism may no longer work on KitKat, you must "sideload" the APK:

: Since official support has ended, you must download a compatible APK from a trusted third-party site like APKMirror .

Using your device's browser (Chrome or the stock browser), navigate to a trusted repository like Select the version compatible with Android 4.4+ Download APK 3. Install the App folder or tap the completed download notification. Tap on the Google Play Store APK file. and wait for the process to finish. 4. Clear Cache (If Needed)

Google Play Store 33.1.16-19 [0] [PR] 487270566 (nodpi) (Android 4.4+) APK. November 10, 2022 PST. November 10, 2022 PST. Version: Download Google Play services for android 4.4.2 - APK.GOLD