A Queens doctor convicted of drugging and sexually assaulting seven women at a NYC hospital and his home — and filming the attacks — also groped a patient on life support, The Post has learned. The 47-year-old woman, identified as “victim 2” in the case of the monster molestor, was on her death bed at New York-Presbyterian Queens Hospital in May 2022 when Dr. Zhi Alan Cheng recorded himself grabbing her breasts and genitals, according to court papers. The sicko doc pleaded guilty in June to four counts of first-degree rape and three counts of first-degree sexual abuse, and was sentenced in August to 24 years behind bars. Dr. Zhi Alan Cheng pleaded guilty to sexually assaulting raping patients at the hospital and dates at his Queens home. “He recorded himself sexually assaulting the woman who was unconscious on a ventilator and a feeding tube and nearing the end of her life,” said lawyer Nicholas Liakas, whose namesake firm sued the Flushing hospital in 2023 on behalf of four of Cheng’s victims.…