LayoutTestDependenciesPlugin.php

<?php

namespace Drupal\layout_test\Plugin\Layout;

use Drupal\Component\Plugin\DependentPluginInterface;
use Drupal\Core\Layout\Attribute\Layout;
use Drupal\Core\Layout\LayoutDefault;
use Drupal\Core\StringTranslation\TranslatableMarkup;

/**
 * Provides a plugin that contains config dependencies.
 */
class LayoutTestDependenciesPlugin extends LayoutDefault implements DependentPluginInterface {
    
    /**
     * {@inheritdoc}
     */
    public function calculateDependencies() {
        $dependencies = [];
        $dependencies['config'][] = 'system.menu.my-other-menu';
        return $dependencies;
    }

}