So I deleted the modification that I had made in /layouts/partials/grid/entry.php to add the button since it is no longer useful.
 
I commented in <div class="uk-card-body"> to hide the title:
    <!-- 
	<a class="uk-text-large<?php echo $titleClass; ?>" href="https://norrnext.com/<?php echo $href; ?>">
		<?php echo $this->escape(CompetitionHelperExtension::truncate($item->title, $titleLength)); ?>
    </a>
    -->
I deleted in <div class="uk-card-media-top"> to remove the link:
href="https://norrnext.com/<?php echo $href; ?>"
 
I created a file : download.php in /layouts/default/partials/buttons/
<?php
defined('_JEXEC') or die;
use Joomla\CMS\Router\Route;
// Récupération des données transmises au layout
extract($displayData);
// Construction de l'URL de l'image
$imageUrl = CompetitionHelperExtension::getPhotoUrlPath($item->competition_id, $item->id, CompetitionHelperExtension::getParticipantImage($item), 'l', $cType);
$downloadFileName = basename($imageUrl); // Optionnel, pour spécifier un nom de fichier lors du téléchargement
echo '<a href="https://norrnext.com/' . htmlspecialchars($imageUrl) . '" download="' . htmlspecialchars($downloadFileName) . '" class="nc-share-button uk-button uk-button-default uk-padding-remove uk-width-1-' . $width . '"> <span uk-icon="icon: download"></span> Télécharger </a> </a>';
 
I changed the actions.php file (To have a different view and display the download button)
<?php
/**
 * @package    Norr_Competition
 * @author     Dmitrijs Rekuns <support@norrnext.com>
 * @copyright  Copyright (C) 2015 - 2024 NorrNext. All rights reserved.
 * @license    GNU General Public License version 3 or later; see license.txt
 */
\defined('_JEXEC') or die;
use Joomla\CMS\Router\Route;
use Joomla\Registry\Registry;
extract($displayData);
/**
 * $displayData
 *
 * @var  string    $cType          Contest type
 * @var  boolean   $isList         Is it a list of entries
 * @var  object    $item           Contest entry
 * @var  Registry  $params         Contest params
 * @var  boolean   $showVote       Display vote button or not
 * @var  boolean   $showShare      Display share button or not
 */
 
 
// Début du conteneur de grille pour les boutons
echo '<div class="uk-grid-small" uk-grid>'; // Utilise 'uk-grid-small' pour un petit espacement entre les boutons
// Bouton de vote (20%)
if ($showVote) :
    echo '<div class="uk-width-1-5">'; // Prend 20% de l'espace
    echo CompetitionHelperTheme::renderLayout('buttons.vote', [
        'item'          => $item,
        'params'        => $params,
        'showShare'     => $showShare,
        'isList'        => $isList
    ]);
    echo '</div>';
endif;
// Bouton de partage (40%)
if ($showShare) :
    echo '<div class="uk-width-2-5">'; // Prend également 40% de l'espace
    $share = $params->get('share');
    if (!empty($share)) :
        echo CompetitionHelperTheme::renderLayout('buttons.share', [
            'img'      => CompetitionHelperExtension::getPhotoUrlPath($item->competition_id, $item->id, CompetitionHelperExtension::getParticipantImage($item), 'l', $cType),
            'url'      => CompetitionHelperExtension::getRootUrl() . Route::_(CompetitionHelperRoute::getEntryRoute($item->id . ':' . $item->alias, $item->competition_id)),
            'title'    => $item->title,
            'share'    => $share,
            'showVote' => $showVote,
            'isList'   => $isList,
            'entryId'  => $item->id
        ]);
    endif;
    echo '</div>';
endif;
// Bouton de téléchargement (40%)
// Affichage direct sans condition
echo '<div class="uk-width-2-5">'; // Prend 40% de l'espace
echo CompetitionHelperTheme::renderLayout('buttons.download', [
    'item'    => $item,
    'cType'   => $cType,
    'params'  => $params,
]);
echo '</div>';
echo '</div>'; // Fin du conteneur de grille
 
And here is the final result. : https://postimg.cc/N2gdDJrn
Do you see any errors or improvements?