It is pretty simple when you do this on your laptop where you can open up a browser and find your outbound ip-number in Google. When you run your request within an Azure Web App which is running on an ASP, you might want to open up a console in Azure Portal and use the following PowerShell command:
(Get-AzWebApp -ResourceGroup <group_name> -name <app_name>).OutboundIpAddresses
See also: find-outbound-ips