Ruling on leaving for Jeddah after Hajj without a farewell

Question: Is it permissible to leave for Jeddah after Hajj without a farewell, and if one leaves without a farewell, what is the ruling?

Answer: Leaving for Jeddah after Hajj without a farewell requires a detailed explanation:
As for those who are residents of Jeddah, they must not leave without a farewell, without a doubt; due to the generality of the authentic hadith, which is the saying of the Prophet (peace and blessings be upon him): narrated by Muslim, and the saying of Ibn Abbas (may Allah be pleased with him and his father): "The people were commanded that their last visit should be to the House, except that it was made easier for the menstruating woman," agreed upon by al-Bukhari and Muslim.
As for the one who went there for a need and intends to return to Makkah, because it is his place of residence during the days of Hajj, this is a matter of concern and doubt, and the most likely view is that he should not leave without a farewell, acting in accordance with the generality of the aforementioned hadith. This farewell suffices him from another farewell if he intends to go there again; because he has performed the commanded farewell. However, if he intends to leave for his home country, the most cautious course for him is to say farewell again, due to the doubt about whether the first farewell suffices.
As for the one who omitted the farewell, this requires a detailed explanation:
If he is of the first type, the most likely view is that a sacrificial animal is obligatory upon him; because he omitted an obligatory act of worship. Ibn Abbas (may Allah be pleased with him and his father) said: "Whoever omits an act of worship or forgets it, let him shed blood." This report is the basis for those who made the shedding of blood obligatory in all the obligatory acts of Hajj, and it is an authentic report. It was also narrated as traced to the Prophet (peace and blessings be upon him), but the report stopping at the Companion is more authentic, and the most likely view is that it is in the ruling of being traced to the Prophet; because it is unlikely that Ibn Abbas would say such a ruling based on his own opinion. And Allah (Glorified and Exalted is He) knows best.
As for if he is of the second type: the one who went to Jeddah or Ta'if or the like for a need, and they are not his home country, but he went to them for a temporary need and his intention is to return to Makkah, then say farewell when he intends to leave for his home country. In this case, it does not appear to me that a sacrificial animal is obligatory for him. If he pays the expiation as a precaution, there is no harm. And Allah knows best.