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These are two different settings that happen to answer the same underlying question — who is covering this, and when — so it is worth being clear up front that Tied keeps them in different places.

Teams are about routing, not hours

A team is a name, a set of members, and one switch: whether it auto-assigns. Conversations can be moved onto a team independently of who is on it. With auto-assign on, a conversation handed to a team round-robins to one of that team’s members with open capacity — the same mechanism that assigns a fresh conversation at the inbox level, just scoped to the team’s own roster. Turn it off, and conversations sit on the team unassigned to a specific person until someone claims one.
Moving a conversation to a different team is itself logged. It shows up in the thread as an activity entry, the same way any assignment change does — so reading a conversation back later explains itself instead of leaving you to guess why ownership moved.

Business hours live on the inbox, not the team

This is the detail worth catching before you configure it: business hours are a property of the inbox, not the team. Each inbox has its own weekly schedule — open and close time for every day, or closed all day, or open all day — evaluated in that inbox’s own timezone. A new inbox starts with a sensible default: closed Saturday and Sunday, 9:00 to 17:00 on weekdays, editable day by day from there.
The schedule does nothing until you turn it on. An inbox’s weekly hours are a separate setting from the master “working hours enabled” switch. A fully configured schedule with that switch off is decorative — nothing checks it.

What happens out of hours

If you have written an out-of-office message for the inbox, Tied doesn’t push it out proactively — it sends the message in reply to an incoming customer message while the inbox is closed, at most once per day. It also holds back entirely if an agent sent a public reply in the last five minutes, so a human who just answered isn’t immediately followed by an automated one. These same hours are also what the AI agent checks before it goes quiet for a human it is handing a conversation to — see AI-to-human handoff. Outside business hours, since there is nobody there yet to hand off to, the AI agent keeps answering rather than leaving the customer stuck until morning.

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AI-to-human handoff

Where these hours decide whether the AI agent goes quiet or keeps going.

Assignment policies

Round robin, load balancing, and how a team fits into both.