Remove the Damaged Nut and Tailpiece

What happens here

First, attempt to loosen the corroded metal nut using pliers. If the nut is too damaged or seized, use a mini hacksaw to cut the plastic tailpiece pipe just below the corroded metal nut. The cut should be as close as possible to the sink basket threads without damaging them. After cutting, use a screwdriver to carefully pry off any remaining pieces of the broken nut and corrosion from the sink basket's threaded connection.

Goal: Attempt to loosen the corroded nut, and if it's too damaged, use a hacksaw to cut the tailpiece below the compromised connection, then pry off the remaining nut pieces.