According to reports, 26-year-old Cook has moved into a nearby apartment.

The move comes just days after Cook was seen canoodling with Fantasia while a camera crew documented the entire encounter ... perhaps for a reality show.

As we previously reported, Fantasia was recently released from the hospital, where she was treated for an overdose. Days before that, Antwaun's wife, Paula Cook, had filed divorce papers .. citing her husband's allegedly "adulterous affair" with Fantasia.