magento-test/app/code/Magento/Persistent/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\Checkout\Model\GuestPaymentInformationManagement">
        <plugin name="inject_guest_address_for_nologin" type="Magento\Persistent\Model\Checkout\GuestPaymentInformationManagementPlugin" />
    </type>
    <type name="Magento\Checkout\Model\GuestShippingInformationManagement">
        <plugin name="persistent_convert_customer_cart_to_guest_cart"
                type="Magento\Persistent\Model\Checkout\GuestShippingInformationManagementPlugin"/>
    </type>
    <type name="Magento\Customer\Model\Customer\AuthorizationComposite">
        <arguments>
            <argument name="authorizationChecks" xsi:type="array">
                <item name="persistent_rest_customer_authorization" xsi:type="object">Magento\Persistent\Model\Customer\Authorization</item>
            </argument>
        </arguments>
    </type>
</config>