The text discusses writing a Playwright check to verify API responses in a user-first manner, focusing on interacting with the UI as a user would, while also intercepting and analyzing the network layer. The example project involves a website that polls an API endpoint upon submitting a form, and the test uses the `page.waitForResponse` method to inspect the response bodies and ensure they match the expected values. The implementation includes filtering out unwanted responses, checking response bodies for specific criteria, and returning the response object once it meets the conditions. The test is run using Playwright's end-to-end testing framework, and the results are logged to verify that the correct API response is being captured.