Task status customization - How to assign "Closed Status" for 2 different types of closed tasks?

Task status customization - How to assign "Closed Status" for 2 different types of closed tasks?

I've defined 2 different status types for completed tasks:
The first is "Completed - Acknowledged & Reviewed"
The second is "Closed - No Response"

Can Zoho CRM support different status types for closed tasks?

I see that in the "Status" pick-list - when editing the Task form there is a system-defined "Closed Status" value to mark a task as closed. This system-defined "Closed Status" is currently only assigned to one Status value that I defined. How can I assign "Closed Status" to the other status value that I defined?

Help much appreciated!