The final stable version released by Google for Android 4.1–4.3 (API levels 16-18) is , released in late 2021. For a specific Android 4.2.2 environment, you can find verified files on reputable community mirrors:

Wait for the process to complete, then tap . Do not attempt to open it directly, as it runs strictly as a background service. Step 4: Reboot Your Device

Since Google Play Services no longer officially supports Android versions lower than 5.0 through automatic store updates in the same way, you must use reputable third-party repositories.