I came across this app (I attach a screen), where you can see that the background of the app also seems to extend into the bar where there is the time, the network status, etc etc, I wanted to try to replicate it but I don't get much

I tried with this theme
<style name="AppFullScreenTheme" parent="Theme.AppCompat.Light">
<item name="android:windowNoTitle">true</item>
<item name="android:windowActionBar">false</item>
<item name="android:windowFullscreen">true</item>
<item name="android:actionBarStyle">@style/MyActionBar</item>
<item name="android:windowContentOverlay">@null</item>
</style>
<style name="MyActionBar" parent="@android:style/Widget.Holo.Light.ActionBar">
<item name="android:background">@color/ice</item>
</style>
Could it be a custom layout?

You can achieve it by declaring a flag to window in onCreate method:
also in app theme:
You should assign "android:windowFullscreen" to false to show the status bar.
Hope this fix your issue.