Reply emails being flagged as automated responses and preventing ticket reopening

If a ticket should reopen under the condition of whether the reply is an automatic response or not, and when it is not, from a specific address, you can create an automation rule that follows these steps:

1. In your Freshdesk dashboard, navigate to the Admin > Automations > Ticket updates.
2. Find the automation Automatically reopen tickets when the customer responds

3. Modify the rule by removing the condition "In Tickets > If Incoming email > Is not an Automatic Response" 
that is highlighted in the below screenshot.

4. Save and enable the rule