magento-test/app/code/Magento/PageCache/etc/webapi_rest/di.xml

<?xml version="1.0"?>
<!--
/**
 * Copyright © Magento, Inc. All rights reserved.
 * See COPYING.txt for license details.
 */
-->
<config xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="urn:magento:framework:ObjectManager/etc/config.xsd">
    <type name="Magento\Framework\App\FrontControllerInterface">
        <plugin name="append_no_store_cache_header" type="Magento\PageCache\Plugin\AppendNoStoreCacheHeader" />
    </type>
</config>