Add contact form with reCAPTCHA, saved to DB, viewable in admin

Adds a public /contact page (name/email/message, protected by the same
reCAPTCHA v3 setup used on registration) that persists submissions to
a new contact_message table, plus a Contact section in the admin panel
to read them. Linked from the site footer.

src/Game/Controller/GameAdminContactController.php

@@ -0,0 +1,24 @@
+<?php
+
+declare(strict_types=1);
+
+namespace App\Game\Controller;
+
+use App\Website\Repository\ContactMessageRepository;
+use Symfony\Bundle\FrameworkBundle\Controller\AbstractController;
+use Symfony\Component\HttpFoundation\Response;
+use Symfony\Component\Routing\Annotation\Route;
+use Symfony\Component\Security\Http\Attribute\IsGranted;
+
+#[Route('/admin/contact')]
+#[IsGranted('ROLE_ADMIN')]
+final class GameAdminContactController extends AbstractController
+{
+    #[Route('', name: 'game_admin_contact', methods: ['GET'])]
+    public function index(ContactMessageRepository $contactMessageRepository): Response
+    {
+        return $this->render('game/admin/contact/index.html.twig', [
+            'messages' => $contactMessageRepository->findBy([], ['createdAt' => 'DESC']),
+        ]);
+    }
+}