anonymous user, You should be able to achieve this with custom host type parameter on Front Door designer for backend pool. All you need to do is add the logic app FQDN to the AFD backend pool. Once after establishing that connection if you try to access the AFD URL, the trigger should wake your app.
Note: If the reason for deploying AFD Infront your logic app is only for exposing your app then API management would be the best fit here where it also provides other security features like AD authentication for secure access.
----------
Please do not forget to "Accept the answer" wherever the information provided helps you to help others in the community.