You need a dual sound block. Some sort of second door that is sealing the opening to the real door, when you want to crank it up. Just applying sound deadening to the real door is not nearly as good.
Some sort of panel, (handmade?) with a solid core and carpeting or cork covering the surface on both sides. It needs to be sealing the entrance, even if it has to just butt up against the real door opening, just so an air gap exists between the panel and the real door surface, but NO gaps around the outside edge of the panel to the real door.
That will solve 90% of the door leaking sound.
Some sort of panel, (handmade?) with a solid core and carpeting or cork covering the surface on both sides. It needs to be sealing the entrance, even if it has to just butt up against the real door opening, just so an air gap exists between the panel and the real door surface, but NO gaps around the outside edge of the panel to the real door.
That will solve 90% of the door leaking sound.

