- Fetch unread inbox messages whenever messageStore is available, not only wake-on-message triggers
- Include pending messages in execution prompts for task and no-task heartbeat runs across timer, assignment, and on-demand sources
- Extend heartbeat messaging tests to cover run-wide mailbox prefetch and read-marking behavior
- Document heartbeat mailbox checking semantics and messageResponseMode behavior in agents docs
- Replace Header mailbox badge class with existing header-badge style token