Fix request permission is not always resolving in Android 16 (#53898)

Summary:
Fixes: #53887
Fixes: expo/expo#39480

In the latest Android 16 update, requesting permissions does not always change the app's state (the `onPause` and `onResume` functions aren't called). For instance, when you deny permission 3 times, the last promise won't resolve until you move the app to the background. The current logic inside the `ReactActivityDelegate` assumes that Android will call `onResume` after receiving permission state information from the system, which is no longer the case.

Probably connected with [this commit](https://android.googlesource.com/platform/packages/modules/Permission/%2B/5dca0ccb26f2b99d706a1d3e9402f851e849c913)

## Changelog:

[ANDROID] [FIXED] - Fix request permission not always resolving in Android 16

Pull Request resolved: #53898

Test Plan:
- I've tested it in the RNTester by denying the camera permission three times.
- I've also checked if the patch works with the Expo permissions code.

Reviewed By: javache

Differential Revision: D83059478

Pulled By: cortinico

fbshipit-source-id: 7bf33b379a1b6606ad2da2f75d337bf951e3986b

Author: lukmccall

packages/react-native/ReactAndroid/src/main/java/com/facebook/react/ReactActivityDelegate.java

@@ -21,6 +21,7 @@
 import com.facebook.infer.annotation.Nullsafe;
 import com.facebook.react.bridge.Callback;
 import com.facebook.react.bridge.ReactContext;
+import com.facebook.react.common.LifecycleState;
 import com.facebook.react.interfaces.fabric.ReactSurface;
 import com.facebook.react.internal.featureflags.ReactNativeNewArchitectureFeatureFlags;
 import com.facebook.react.modules.core.PermissionListener;
@@ -248,14 +249,37 @@ public void requestPermissions(
 
   public void onRequestPermissionsResult(
       final int requestCode, final String[] permissions, final int[] grantResults) {
-    mPermissionsCallback =
+    Callback permissionsCallback =
         args -> {
           if (mPermissionListener != null
               && mPermissionListener.onRequestPermissionsResult(
                   requestCode, permissions, grantResults)) {
             mPermissionListener = null;
           }
         };
+
+    LifecycleState lifecycle;
+    if (isFabricEnabled()) {
+      ReactHost reactHost = getReactHost();
+      lifecycle = reactHost != null ? reactHost.getLifecycleState() : LifecycleState.BEFORE_CREATE;
+    } else {
+      ReactNativeHost reactNativeHost = getReactNativeHost();
+      if (!reactNativeHost.hasInstance()) {
+        lifecycle = LifecycleState.BEFORE_CREATE;
+      } else {
+        lifecycle = reactNativeHost.getReactInstanceManager().getLifecycleState();
+      }
+    }
+
+    // If the permission request didn't show a dialog to the user, we can call the callback
+    // immediately.
+    // Otherwise, we need to wait until onResume to call it.
+    if (lifecycle == LifecycleState.RESUMED) {
+      permissionsCallback.invoke();
+      return;
+    }
+
+    mPermissionsCallback = permissionsCallback;
   }
 
   protected Context getContext() {