Is it permissible to cook for the family of the deceased and eat from it during the first three days after their death, based on Aisha’s hadith about “Talbinah” removing sadness, despite the existence of other hadiths that prohibit that?

The hadith of Aisha regarding talbinah indicates the permissibility for the deceased's household to prepare food for themselves and their close ones upon the death of one of their family members. There is also a prohibition against gathering in the house of the deceased and eating there, due to the burden it places on them.

The Prophet, peace and blessings be upon him, encouraged the preparation of food for the family of the deceased, just as he commanded the preparation of food for the family of Ja'far upon the death of Ja'far, may Allah be pleased with him. The majority of jurists have gone to the extent of recommending the preparation of food for the family of the deceased for three days, provided that it is for the family of the deceased themselves and not for people gathered at their house. It is disliked for the family of the deceased to prepare food for people gathered at their house, except in cases of need, such as the arrival of travelers from distant places. It is disliked to eat from the food prepared by the family of the deceased, and it is forbidden if there is a restricted heir in the inheritance or if permission was not given for it.

As for the Shafi'is, they recommended that relatives and neighbors prepare food for the family of the deceased, sufficient for them for their day and night. The hadith of Aisha is understood to mean that the family of the deceased prepared food for themselves when their neighbors did not prepare it for them.