Assign outbound conversation to a team/route outbound emails to a Team Inbox without a customer replying first

Feature Request: Surface Outbound Emails in Team Inbox for Agent Follow-Up

Summary
We want all outbound emails sent via Intercom to automatically appear in the Team Inbox as conversation records, regardless of whether the contact replies — so agents can be assigned to follow up individually.

Current Behavior
Outbound emails sent to a contact segment only appear in the Team Inbox as a conversation record if the contact replies. Emails with no reply are not surfaced for agent action.

Desired Behavior
Every outbound email sent to a contact segment should generate a conversation record in the Team Inbox. These records should be assignable via round-robin, enabling agents to proactively follow up with contacts on a 1:1 basis.