Preconditions (*)

1. Magento 2.4.3-p1
2. Sample Data is imported

Steps to reproduce (*)

1. Query using route(url:"<>")

Expected result (*)

1. Response header should contain X-Magento-Tags and Cache-Control to be public

Actual result (*)

1. X-Magento-Tags header is missing and Cache-Control is no-cache

• Severity: S2 - Affects non-critical data or functionality and forces users to employ a workaround.

After debugging I have found that
vendor/magento/module-cms-url-rewrite-graph-ql/Model/Resolver/UrlRewrite/CmsUrlResolverIdentity.php:26
vendor/magento/module-catalog-url-rewrite-graph-ql/Model/Resolver/UrlRewrite/CatalogUrlResolverIdentity.php:36

expects a key 'id' to be present in $resolvedData
$ids = [$selectedCacheTag, sprintf('%s_%s', $selectedCacheTag, $resolvedData['id'])];

A workaround solution is to overwrite the files
vendor/magento/module-catalog-url-rewrite-graph-ql/Model/DataProvider/UrlRewrite/ProductDataProvider.php:48
$product = $this->productRepository->getById($id, false, $storeId);
$result = $product->getData();
$result['id'] = $product->getId();

vendor/magento/module-cms-url-rewrite-graph-ql/Model/DataProvider/UrlRewrite/Page.php:49
$result = $this->pageDataProvider->getDataByPageId((int)$id);
$result['type_id'] = $entity_type;
$result['id'] = $result['page_id']