[Android] Fixed permission_dialog_delegate_ at PermissionPromptAndroid (#27715)

Fixes brave/brave-browser#44073

This is basically fixup for
https://github.com/brave/brave-core/commit/7125b6f95a62ccf0c32f444739281a5fae862733

Related Chromium change
https://source.chromium.org/chromium/chromium/src/+/b03957663284904033846c9dc667fac4e052d0bc

	[PEPC] Add  embedded prompt class for Android

	As outlined in go/pepc-on-clank-dd, this CL introduces a new PEPC
	prompt class extending from the PermissionPromptAndroid base.

	Change-Id: I32e7a2a85e5febf3df34080b17a72054abc3a86b
	Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/6162756

chromium_src/components/permissions/android/permission_prompt/permission_prompt_android.h

@@ -21,6 +21,11 @@
   Delegate* delegate_public() const {                                         \
     return delegate_;                                                         \
   }                                                                           \
+  /* Public setter for upstream's private permission_dialog_delegate_      */ \
+  void set_permission_dialog_delegate(                                        \
+      std::unique_ptr<PermissionDialogDelegate> permission_dialog_delegate) { \
+    permission_dialog_delegate_ = std::move(permission_dialog_delegate);      \
+  }                                                                           \
   size_t PermissionCount
 
 #include "src/components/permissions/android/permission_prompt/permission_prompt_android.h"  // IWYU pragma: export
@@ -44,7 +49,13 @@ class PermissionPromptAndroid : public PermissionPromptAndroid_ChromiumImpl {
   bool ShouldUseRequestingOriginFavicon() const override;
 
   void CreatePermissionDialogDelegate() {
-    PermissionDialogDelegate::Create(web_contents(), this);
+    // This method does the same as upstream's
+    // PermissionPromptAndroid::CreatePermissionDialogDelegate:
+    // permission_dialog_delegate_ =
+    //     PermissionDialogDelegate::Create(web_contents_, this);
+    std::unique_ptr<PermissionDialogDelegate> permission_dialog_delegate =
+        PermissionDialogDelegate::Create(web_contents(), this);
+    set_permission_dialog_delegate(std::move(permission_dialog_delegate));
   }
 };