¿Cómo puedo solucionar el problema de no reemplazar el contenido en otro sitio web de WordPress?

Estoy desarrollando un complemento de búsqueda y reemplazo para WordPress, configuro un sitio múltiple de mi WordPress localmente en la misma cuenta. Debe buscar el contenido de la página en el PRIMER SITIO WEB y luego apuntar al SEGUNDO SITIO WEB para reemplazar la palabra clave que se encontró en el PRIMER SITIO WEB.

<php
// Hook to load the admin page
add_action('admin_menu', 'add_page_search_admin_page');

// Function to add the admin page
function add_page_search_admin_page() {
    add_menu_page(
        'Page Search',    // Page Title
        'Page Search',    // Menu Title
        'manage_options',  // Capability
        'page-search',    // Menu Slug
        'page_search_page' // Callback function to display the page
    );
}

// Callback function to display the admin page
function page_search_page() {
    ?>
    <div class="wrap">
        <h2>Search and Replace</h2>
        <form method="post">
            <label for="search_text">Search Text: </label>
            <input type="text" name="search_text" id="search_text">
            <label for="replace_text">Replace Text: </label>
            <input type="text" name="replace_text" id="replace_text">
            <input type="submit" name="submit" class="button-primary" value="Search and Replace">
        </form>
        <?php
        if (isset($_POST['submit'])) {
            $search_text = sanitize_text_field($_POST['search_text']);
            $replace_text = sanitize_text_field($_POST['replace_text']);
            perform_search_and_replace($search_text, $replace_text);
        }
        ?>
    </div>
    <?php
}

// Function to make a remote request to Website1 and search for text
function website1_request() {
    $url_website1 = 'http://localhost/Website1/wp-json/wp/v2/pages';
    $username1 = 'admin';
    $password1 = 'Administrator123!';

    $response = wp_remote_get($url_website1, array(
        'headers' => array(
            'Authorization' => 'Basic ' . base64_encode($username1 . ':' . $password1)
        )
    ));

    if (is_wp_error($response)) {
        // Handle the error
        $error_message = wp_remote_retrieve_response_message($response);
        echo "Website1 Request Error: $error_message";
        return null;
    }

    $body = wp_remote_retrieve_body($response);
    $data = json_decode($body);

    return $data;
}

// Function to perform the search and replace
function perform_search_and_replace($search_text, $replace_text) {
    $data = website1_request();

    if ($data) {
        foreach ($data as $page) {
            if (isset($page->content->rendered) && strpos($page->content->rendered, $search_text) !== false) {
                $updated_content = str_replace($search_text, $replace_text, $page->content->rendered);

                if (update_website2($updated_content)) {
                    echo "Page updated and published on Website2.";
                } else {
                    echo "Failed to update and publish the page on Website2.";
                }
            }
        }

        echo "Search and replace completed.";
    } else {
        echo "Failed to retrieve data from Website1.";
    }
}

// Function to retrieve all pages from Website2
function website2_request_all_pages($url, $username, $password) {
    $response = wp_remote_get($url, array(
        'headers' => array(
            'Authorization' => 'Basic ' . base64_encode($username . ':' . $password)
        )
    ));

    if (is_wp_error($response)) {
        // Handle the error
        $error_message = wp_remote_retrieve_response_message($response);
        echo "Website2 Request Error: $error_message";
        return null;
    }

    $body = wp_remote_retrieve_body($response);
    $data = json_decode($body);

    return $data;
}

// Function to update Website2 with modified content
function update_website2($content) {
    $url_website2 = 'http://localhost/Website2/wp-json/wp/v2/pages';
    $username2 = 'admin';
    $password2 = 'Administrator123!';

    // Retrieve all pages from Website2
    $pages = website2_request_all_pages($url_website2, $username2, $password2);
    var_dump($pages);

    if ($pages) {
        // Search for the matching page on Website2 based on content
        foreach ($pages as $page) {
            if (isset($page->content->rendered) && $page->content->rendered === $content) {
                // Matching content found, update the page on Website2
                $page_id = $page->id;
                var_dump($page_id);
                $update_url="http://localhost/Website2/wp-json/wp/v2/pages/" . $page_id;

                $update = wp_remote_post($update_url, array(
                    "headers" => array(
                        'Authorization' => 'Basic ' . base64_encode($username2 . ':' . $password2)
                    ),
                    "body" => array(
                        "content" => $content,
                        "status" => "publish"
                    )
                ));

                if (is_wp_error($update)) {
                    // Handle the error
                    $error_message = wp_remote_retrieve_response_message($update);
                    echo "Website2 Update Error: $error_message";
                    return false;
                }

                echo "Page on Website2 updated with ID {$page_id}.";
                return true;
            }
        }

        echo "No matching page found on Website2 for the provided content.";
    } else {
        echo "Failed to retrieve pages from Website2.";
    }
}