List inbox threads

Newest-first by default, unless search is set. Then it is ranked by relevance, most useful match first, and sort is ignored. sort=longest_waiting reads the same list from the other end, oldest activity first, which is how a reply that has been sitting unanswered for three days gets to the top. Auto-replies and bounces live in their own views; unlabelled is the work queue: real threads nobody and no classifier has described yet. search runs full-text over every message plus the contact's name and address. channel and the last_message_at__after / last_message_at__before bounds narrow the list; both bounds are inclusive. The working views (all, unlabelled, needs_approval) list only conversations the contact wrote into: a send nobody answered is not in the inbox. all and unlabelled list only those still waiting on us: a reply with no answer yet, an unread conversation, a reminder that went off, or an answer of ours that went three business days unanswered (came_back, returns_at) when the verdict on their latest reply does not say the conversation is over. Once we answer, a conversation moves out and stays in sent; one marked done (is_done) stays out until a new message reaches us. A search or a label_id reads every conversation the contact wrote into, waiting or not. Each row's listed_at is the moment it sorts by. out_of_office, bounces and reminders list what a machine wrote or the person snoozed. sent lists every conversation something of ours went out in, a sequence step or a reply, on email or LinkedIn, answered or not and whatever became of it since; a LinkedIn reply still queued for the browser, or one that failed, has not gone out. A send nobody answered never lights the unread badge. Each row's contact_replied says whether the contact has written back. reply_state=replied keeps the conversations we answered after the contact's latest reply, by a person or the agent; reply_state=not_replied keeps the ones whose latest reply is still the last word. all_mail lists every conversation, whatever became of it: the place a conversation marked done is found.