On your project page, include your survey link,

When a participant inputs the Invite Key, they’ll load the project. When they’re finished recording, they’ll see the Final Message and a prompt to fill out the survey.

When they visit the survey from inside the app, the castId will be appended to the URL. Your survey can use this “prefill-key” to link the survey to the Paircast recording.

The screenshot below is of Paperform.The “castId” field is prepopulated with the query parameter “?castId=x”.

Then, follow the directions in the Zapier Tutorial to include the survey results in the dashboard.