Reposition tabs in Edge

I have some touchpad gestures set up to switch between tabs in Edge but I haven't figured out a way to actually move tabs. I.e. mimic the process of clicking a tab and dragging it left or right. There doesn't seem to be a shortcut key for this in Edge.

Related, I can't see a shortcut for opening the current tab in a new window. For this, I'm ultimately looking for a gesture that would take the current tab and move it to the next monitor.