Ali (may Allah be pleased with him) proclaiming Bara'ah during the Hajj season

It is narrated from Jumay' bin Umayr al-Laythi that he said: I came to Sayyiduna Abdullah bin Umar (may Allah be pleased with them both) and asked him about Ali (may Allah be pleased with him), and he rebuked me. Then he said: "Shall I not tell you about Ali? This is the house of the Messenger of Allah (peace and blessings be upon him) in the Mosque, and this is the house of Ali (may Allah be pleased with him). The Messenger of Allah (peace and blessings be upon him) sent Abu Bakr and Umar (may Allah be pleased with them both) with Surah Bara'ah to the people of Makkah. They set off, and they saw a rider. They asked: 'Who is this?' He said: 'I am Ali.' Ali said: 'O Abu Bakr! Hand over the document (letter) that you have with you.' Abu Bakr asked: 'O Ali! Has something happened concerning me?' Ali said: 'By Allah! I know nothing but good.' So Ali (may Allah be pleased with him) took the document and went off with it, while Abu Bakr and Umar (may Allah be pleased with them both) returned to Madinah and said: 'O Messenger of Allah! What is the matter concerning us?' He (peace and blessings be upon him) said: 'There is nothing for you but good, but I have been told that none shall convey (this message) on your behalf except you yourself or a man from you.'"
This hadith is shadhdh (anomalous), and the cause of its weakness is Jumay' bin Umayr and, after him, Ishaq bin Bishr.

It is narrated from Sayyiduna Abdullah bin Abbas (may Allah be pleased with them both) that the Messenger of Allah (peace and blessings be upon him) sent Sayyiduna Abu Bakr (may Allah be pleased with him) and ordered him to proclaim these words, then he sent Sayyiduna Ali (may Allah be pleased with him) after him. Abu Bakr was still on the way when he heard the grunting of the she-camel of the Messenger of Allah (peace and blessings be upon him). He came out in alarm, thinking that perhaps the Messenger of Allah (peace and blessings be upon him) had come, but it was Ali. Ali (may Allah be pleased with him) gave him the written instruction of the Messenger of Allah (peace and blessings be upon him), in which Abu Bakr (may Allah be pleased with him) had been appointed leader of the Hajj and Ali (may Allah be pleased with him) had been ordered to proclaim these words. So Ali (may Allah be pleased with him) stood up during the days of Tashriq and proclaimed: "Indeed, Allah and His Messenger are free of (all obligations to) the polytheists" [Surah al-Tawbah: 3], and "So travel freely in the land for four months" [Surah al-Tawbah: 2], and that after this year no polytheist shall perform Hajj, no one shall circumambulate the House (the Ka'bah) naked, and none shall enter Paradise except a believer. Ali (may Allah be pleased with him) kept making this proclamation, and when his voice grew hoarse, Sayyiduna Abu Hurayrah (may Allah be pleased with him) would stand and call out.
This hadith has an authentic (sahih) chain of narration, but the two Shaykhs (Bukhari and Muslim) did not record it.

It is narrated from Zayd bin Yuthay' that he said: We asked Sayyiduna Ali (may Allah be pleased with him): "With what were you sent during that Hajj?" He said: "I was sent with four things: that none shall enter Paradise except a believer; that no one shall circumambulate the House (the Ka'bah) naked; that after this year a believer and a disbeliever shall not gather together in the Sacred Mosque; and that whoever has a covenant with the Prophet (peace and blessings be upon him), it remains valid until its term, and whoever has no covenant, he has a respite of four months."
This hadith is sahih (authentic) on the condition of the two Shaykhs (Bukhari and Muslim), but they did not record it.