Is it permissible to have sex with a woman whom one admires at work, based on a Hadith attributed to the Prophet that allows this, and is this Hadith authentic?

The book called "Al-Khilaf" is unknown, and it is likely to be among the books of the Shia, who are known for lying and breaking covenants, and whom Ibn Taymiyyah described as being among the most mendacious and ignorant of people. The inquired-about hadith, which permits adultery, is an outright lie against the Prophet, peace and blessings be upon him. Adultery is unequivocally forbidden in Islam by definitive texts from the Qur'an and Sunnah. All its preliminaries and inducements have been prohibited, and this heinous act has been described as abhorrent, associated with polytheism and unlawful killing. Authentic hadiths have been reported describing the punishment for adulterers and clarifying the enormity of this crime. The claim that mixed work environments existed during the time of the Companions is a baseless fabrication. A Muslim must beware of these falsehoods attributed to the Prophet, peace and blessings be upon him, for whoever intentionally lies about him shall take his seat in Hellfire.