The correct version for Android 4.4.2 is usually a or nodpi variant of the Play Store, typically from the v16.x.x to v23.x.x range. Newer versions (v30+) will crash immediately because they rely on newer Android APIs.
For devices still running this version, the Play Store provides a stripped-down experience focused on basic app management: Manual APK Installation : Users can sideload the Google Play Store by enabling "Unknown Sources" in Security Settings. Version Limitation google play store apk android 442
You need a Play Store APK that is compatible with API Level 19 (Android 4.4+). The correct version for Android 4
This process is known as “sideloading.” It takes less than five minutes. Version Limitation You need a Play Store APK
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The Ultimate Guide to Google Play Store APK for Android 4.4.2 (KitKat)
Ensure your device has the correct date and time, or the Play Store will not connect to servers. Alternatives to Play Store on Android 4.4.2