[Catalog][Navigation Drawer] Update navigation drawer state handling to be more accurate in demo

Resolves #3611
Resolves #3610

GIT_ORIGIN_REV_ID=23a4655b1b4689f4b8fb233460822cd3b7c09675
PiperOrigin-RevId: 572943834

Author: manabu-nakamura

catalog/java/io/material/catalog/navigationdrawer/NavigationDrawerDemoActivity.java

@@ -27,6 +27,7 @@
 import androidx.activity.OnBackPressedCallback;
 import androidx.annotation.NonNull;
 import androidx.annotation.Nullable;
+import androidx.core.view.GravityCompat;
 import androidx.drawerlayout.widget.DrawerLayout;
 import androidx.drawerlayout.widget.DrawerLayout.SimpleDrawerListener;
 import com.google.android.material.materialswitch.MaterialSwitch;
@@ -98,6 +99,14 @@ public void onDrawerClosed(@NonNull View drawerView) {
           navigationViewEnd.setItemTextAppearanceActiveBoldEnabled(isChecked);
         });
 
+    drawerLayout.post(
+        () -> {
+          if (drawerLayout.isDrawerOpen(GravityCompat.START)
+              || drawerLayout.isDrawerOpen(GravityCompat.END)) {
+            drawerOnBackPressedCallback.setEnabled(true);
+          }
+        });
+
     return view;
   }