### 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.
export_template_manager->popup_manager();
		} break;
		case SETTINGS_MANAGE_FBX_IMPORTER: {
#if !defined(ANDROID_ENABLED) && !defined(WEB_ENABLED)
			fbx_importer_manager->show_dialog();
#endif
		} break;
		case SETTINGS_INSTALL_ANDROID_BUILD_TEMPLATE: {
			gradle_build_manage_templates->hide();
			file_android_build_source->popup_centered_ratio();
		} break;
		case SETTINGS_MANAGE_FEATURE_PROFILES: {
			feature_profile_manager->popup_centered_clamped(Size2(900, 800) * EDSCALE, 0.8);
		} break;
		case SETTINGS_TOGGLE_FULLSCREEN: {
			DisplayServer::get_singleton()->window_set_mode(DisplayServer::get_singleton()->window_get_mode() == DisplayServer::WINDOW_MODE_FULLSCREEN ? DisplayServer::WINDOW_MODE_WINDOWED : DisplayServer::WINDOW_MODE_FULLSCREEN);
		} break;
		case EDITOR_SCREENSHOT: {
			screenshot_timer->start();
		} break;
		case SETTINGS_PICK_MAIN_SCENE: {
			file->set_file_mode(EditorFileDialog::FILE_MODE_OPEN_FILE);
			List<String> extensions;
			ResourceLoader::get_recognized_extensions_for_type("PackedScene", &extensions);
			file->clear_filters();
			for (int i = 0; i < extensions.size(); i++) {
				file->add_filter("*." + extensions[i], extensions[i].to_upper());
			}
			Node *scene = editor_data.get_edited_scene_root();
			if (scene) {