### 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.
switch (current_menu_option) {
		case FILE_NEW_INHERITED_SCENE: {
			Node *scene = editor_data.get_edited_scene_root();
			
			if (!scene) {
				_menu_option_confirm(FILE_CLOSE, true);
			}
			load_scene(p_file, false, true);
		} break;
		case FILE_OPEN_SCENE: {
			load_scene(p_file);
		} break;
		case SETTINGS_PICK_MAIN_SCENE: {
			ProjectSettings::get_singleton()->set("application/run/main_scene", p_file);
			ProjectSettings::get_singleton()->save();
			
			project_run_bar->play_main_scene((bool)pick_main_scene->get_meta("from_native", false));
		} break;
		case FILE_CLOSE:
		case SCENE_TAB_CLOSE:
		case FILE_SAVE_SCENE:
		case FILE_SAVE_AS_SCENE: {