### Godot version

4.1.dev (dc625bcbfc5b587ba8867481ee7a1f6a567c25d0)

### System information

Mageia 9, Linux

### Issue description

When importing a project in current `master`, the following error is raised for each asset that gets imported:
```
Attempting to parent and popup a dialog that already has a parent.
```

It seems to be raised once per asset, caused by the progress dialog.

CC @bruvzg

### Steps to reproduce

- Import a new project in Godot that contains importable assets, e.g. https://github.com/RPicster/godot4-demo-desert-light

### Minimal reproduction project

See above.
project_run_bar->stop_playing();
	_save_all_scenes();
}
void EditorNode::save_scene_list(Vector<String> p_scene_filenames) {
	for (int i = 0; i < editor_data.get_edited_scene_count(); i++) {
		Node *scene = editor_data.get_edited_scene_root(i);
		if (scene && (p_scene_filenames.find(scene->get_scene_file_path()) >= 0)) {
			_save_scene(scene->get_scene_file_path(), i);
		}
	}
}
void EditorNode::save_before_run() {
	current_menu_option = FILE_SAVE_AND_RUN;
	_menu_option_confirm(FILE_SAVE_AS_SCENE, true);
	file->set_title(TTR("Save scene before running..."));
}
void EditorNode::try_autosave() {
	if (!bool(EDITOR_GET("run/auto_save/save_before_running"))) {
		return;
	}
	if (unsaved_cache) {
		Node *scene = editor_data.get_edited_scene_root();
		if (scene && !scene->get_scene_file_path().is_empty()) { 
			_save_scene_with_preview(scene->get_scene_file_path());
		}
	}
	_menu_option(FILE_SAVE_ALL_SCENES);
	editor_data.save_editor_external_data();
}
void EditorNode::restart_editor() {