KevinTheJedi Thank you for responding. I've already arranged those setups. Please refer to the image below.
What I'm trying to convey is this: If you send a "NEW" email (with the subject "First new email") to my accounts email, yes, the ticket will be directed to accounts. Similarly, if you send a "NEW" email (with the subject "Second new email") to the order email, the ticket will go to customer service. However, if you reply to the same email thread from the account's email (with the subject "First new email") and direct it to construction, the ticket will still be routed to the accounts department instead of the estimating department.