Hey @Shraeyas , Auto closing of chats only works on customer inactivity [where the last message is from the agent and the customer did not reply back]
We do not recommend auto-closing chats due to agents being inactive as it would lead to a bad experience for the customer.
But if your expectation is still to auto-close chats due to agent inactivity, you will have to use the ticket close API in a journey with agent-inactivity as its event trigger. Hope this helps