When I try to drag an item (in the browser on computer), and the hamburger menu appears for the current item, I often misinterpret it as a drag handle, and try dragging from there. Instead of dragging the item, the menu opens up.
As dragging from the menu button has no other meaning, the item dragging function should be extended to drags starting from there.
If the zoom or collapse button between the bullet and the Open menu buttons becomes draggable as well, I think that’s not a problem either.