@Marllon_Mainardes I sense that you would like to use public notes or replies over private notes for this integration and still want to restrict the user email notifications only for the public notes/replies added by the integration.
Would your request more of a API parameter to avoid this user notification during the addition or any configuration in the Freshdesk portal will also be fine?
I could pass this specific feedback to the Freshdesk product team to analyze it further.