To what extent is the circulating hadith valid, which mentions the will of Lady Khadijah, may Allah be pleased with her, to the Messenger of Allah, peace and blessings be upon him, before her death, and her request to be shrouded in his garment, and then the descent of Jibreel with another shroud for her from Paradise?

The mentioned Hadith has no origin and was not narrated with a chain of transmission. It was only mentioned by Muhammad Mahdi al-Ha'iri in "Shajarat Tuba" without a chain of transmission. In addition to its weak wording, the text contains objectionable and false meanings, including: Khadijah's (may Allah be pleased with her) will being restricted to Fatimah only, to the exclusion of her sisters, and her request for a special garment that the Prophet (peace be upon him) used to wear when revelation descended, which is something that has not been proven. Khadijah (may Allah be pleased with her) passed away three years before the Hijrah and before the Mi'raj, and was buried in al-Hajun. There is no need for such fabricated Hadiths to prove her great status.