Init
I have deployed a solution to an Azure App Service where there is a requirement to run self-requests from the app service to itself. The app service is running with multiple instances, and I want to utilize the automatic TLS certificates from the Azure App Service. This means I am using the azurewebsites domain for communication from FrontDoor Premium to the Azure App service, for example, example-app1.azurewebsites.net. I am using FrontDoor Premium for this app service to utilize caching and a web application firewall for requests from the internet.
Issue number 1 is that the app service can't send HTTP requests to itself. Those requests end up with a 403.

Issue number 2 is that the app service can't receive HTTP communication from other app services. Those requests end up with a 403.

This article explains that the routing of the example-app1.azurewebsites.net is changed if it is integrated with a private endpoint. https://learn.microsoft.com/en-us/azure/app-service/overview-private-endpoint
Question
I am looking for ways to enable communication from Issue#1 self-requests and Issue#2 app service to app service communication.
Is this possible at all? Are there any best practices for solving such an issue?
What I have tested so far
Testing with private DNS and Network ACL, as well as host file entries, has been unsuccessful so far.
Thank you for your help