If your use case requires this data in Funnel, you can request it as a custom connector.
Custom connectors and data requests are available only in Business and Enterprise plans.
Contacts Report
Available Fields:
Fetches custom fields that vary depending on Intercom configuration
Conversations Report
Available Fields:
Conversation Id
Conversation Created At
Conversation Part Id
Part Type
Body
Conversation Part Created At
Notified At
Assigned To
Author Id
Author Type
Author Name
Author Email
Event Details Value Name
How to request this data
To request Intercom data, submit a data request (see link here for instructions) or select the Intercom tile marked custom after enabling Show custom connectors.