I receive the issue "This API call does not support the requested response format"

If you receive the error notification inside your Zendesk ticket as below, then this guide is right for you:

This issue is caused by Instagram's API, which may flag certain responses as spam  or offensive. This commonly occurs when the same response is posted multiple times or when templated, generic replies are used. 

To minimize the change of this issue to happen, it's best to use personalized, handwritten replies rather than replying on repetitive templates. Creating unique responses helps to bypass Instagram's filters and ensures your replies aren't flagged as suspicious. 

Additionally, posting a few replies directly within Instagram may also help to prove that your responses are not spam.

Another workaround is to utilize the Instagramer Suite side-bar app. It allows to reply to post comments with DMs within Zendesk. There's more details on how to use this feature: How to reply to Instagram Comments with a DM?