Description (English):
Currently, ManyChat’s Automation Rules are based on triggers like: system field changes, user field updates, specific dates/times, and more.
However, there’s no option to trigger a rule when an agent manually starts a conversation in Live Chat.

My suggestion:
Add a new trigger condition under Rules:
"Conversation manually started by agent in Live Chat"

Examples of use cases:

• Send an HTTP Request to update external systems like CRM or ERP.

• Update a Custom Field indicating the contact was manually approached.

• Trigger internal automations for better conversation flow tracking.