AnswerThePublic doesn't have an API available.
At the moment, it will be a standalone tool where you can make searches manually either as a FREE user or a PRO subscriber, with unlimited free searches (fair use policy applies).
We don't support any automation for running searches, or integrations with other services, but it's something we may look into in the future.
If you need further assistance or have any concerns, please don’t hesitate to contact us at support@answerthepublic.com.