Attempt Dislodging with Paper Towel

What happens here

Take several sheets of paper towel and tightly wind them into a compact form. Insert the wound paper towel into the drain opening, attempting to push it down to either dislodge the broken plastic piece or create enough friction to pull it out. This method is shown to be unsuccessful for the primary blockage, though some hair/debris is removed.

Goal: As another attempt, tightly wound paper towels are inserted into the drain, presumably to push or dislodge the obstruction. This method also fails to remove the main plastic blockage.