Как выполнить POST запрос через cURL?

У Яндекса в документации есть

Запрос:

curl -i -H 'Content-Type: application/xml'-X POST 'https://api.partner.market.yandex.ru/v2/campaigns/12345/outlets.xml'

Тело POST-запроса:

-d '<outlet name="На Озёрной" type="DEPOT" coords="20.4522144, 54.7104264" is-main="false" shop-outlet-code="419" visibility="VISIBLE">
  <address region-id="22" street="ОЗЕРНАЯ" number="20А"/>
  <phones>
    <phone>+7 (401) 212-22-32 #123</phone>
  </phones>
  <working-schedule work-in-holiday="false">
    <schedule-items>
      <schedule-item start-day="MONDAY" end-day="FRIDAY" start-time="09:00" end-time="19:00"/>
      <schedule-item start-day="SATURDAY" end-day="SATURDAY" start-time="10:00" end-time="16:00"/>
    </schedule-items>
  </working-schedule>
  <delivery-rules>
    <delivery-rule cost="285" min-delivery-days="19" max-delivery-days="30" delivery-service-id="100" order-before="24" price-free-pickup="120"/>
  </delivery-rules>
  <emails>
    <email>example-shop@yandex.ru</email>
  </emails>
</outlet>'

Как его выполнить с помощью php curl?

Пытаюсь сделать как то так

$request = <<<XML
<?xml version="1.0" encoding="UTF-8"?>
       <outlet name="На Озёрной" type="DEPOT" coords="20.4522144, 54.7104264" is-main="false" shop-outlet-code="419" visibility="VISIBLE">
  <address region-id="22" street="ОЗЕРНАЯ" number="20А"/>
  <phones>
    <phone>+7 (401) 212-22-32 #123</phone>
  </phones>
  <working-schedule work-in-holiday="false">
    <schedule-items>
      <schedule-item start-day="MONDAY" end-day="FRIDAY" start-time="09:00" end-time="19:00"/>
      <schedule-item start-day="SATURDAY" end-day="SATURDAY" start-time="10:00" end-time="16:00"/>
    </schedule-items>
  </working-schedule>
  <delivery-rules>
    <delivery-rule cost="285" min-delivery-days="19" max-delivery-days="30" delivery-service-id="100" order-before="24" price-free-pickup="120"/>
  </delivery-rules>
  <emails>
    <email>example-shop@yandex.ru</email>
  </emails>
</outlet>
XML;

$ch = curl_init();

curl_setopt($ch, CURLOPT_URL,$url); 

curl_setopt($ch, CURLOPT_RETURNTRANSFER,1); 

curl_setopt($ch, CURLOPT_POST, 1); 

curl_setopt($ch, CURLOPT_POSTFIELDS, $request); 

$result = curl_exec($ch); 

$status = curl_getinfo($ch, CURLINFO_HTTP_CODE);

curl_close($ch);

PS Техподдержка Яндекса пишет, что я не передаю тело запроса.