Planner task Popout window
Have a way to Pop-out a small Tile windows listing all planner task assign to you from all channels. you could add Options to show all channels or only a few channels. Could also have it check any task from planner not under teams.
This way if you have 3-4 display screens, you can have your task list on screen 2 and Teams on Screen 3
this would also permit to stay in the task /document while you start a new chat