Hi @Alyse Hart ,
Welcome to the Microsoft Q&A Platform! Thank you for asking your question here.
Yes, Logic App APIs can be affected by the new Webhook URL Migration. If your Logic App uses webhook triggers or actions, you'll need to ensure that the new webhook URLs are correctly configured. This might involve updating the callback URLs in your Logic App to match the new webhook endpoints provided by the service you're integrating with.
For your reference and understanding please check the below document: https://learn.microsoft.com/en-us/connectors/custom-connectors/create-webhook-trigger
I hope this helps! Let me know if you have any further questions.
Thank you!