Maybe it's just my ADHD talking but it would be incredibly helpful to have an option to pop out the tasks window for quick visual reference. With multi-monitor setups, there's usually a window arrangement that leaves a small amount of real estate for a subtle small window that you can check back for the next hottest priority.

Also, if AI integration is possible, having the tasks be able to auto-update their status based on linked convos and alert user as to changes via convo context would be incredible.