Support email syncing edge case bug

When you take support@email out of the email conversations cc and add it back later, then the emails don’t sync properly anymore:

This is the example chat

My last email didn’t sync there, even though it has support@email in cc:

Edit: Just found out that the last message came as a new conversation:

https://feedback.featurebase.app/dashboard/inbox/new_conversation/conversation/3766