Why do they say (Allahu Akbar) three times in the Eid takbir, and not twice, then (La ilaha illa Allah, Allahu Akbar) without a waw?

It has been established from the Salaf that one should perform the takbir three times and then double it, and the addition of the waw (and) between "La ilaha illa Allah" and "Allahu Akbar" has been established. This has been narrated by Al-Bayhaqi, Ibn Abi Shaybah, Al-Daraqutni, and Abd Al-Razzaq. The most authentic formula for the takbir is what Abd Al-Razzaq narrated with an authentic chain from Salman: "Allahu Akbar, Allahu Akbar, Allahu Akbar Kabira (Allah is Most Great, Allah is Most Great, Allah is Most Great, supremely)." It was also said that one should perform the takbir three times and add: "La ilaha illa Allah wahdahu la sharika lah (There is no god but Allah, alone, without partner)..." And it was said that one performs the takbir twice, followed by: "La ilaha illa Allah, wa Allahu Akbar, Allahu Akbar walillahil hamd (There is no god but Allah, and Allah is Most Great, Allah is Most Great, and to Allah belongs all praise)." This was narrated from Umar and Ibn Mas'ud. Al-Qurtubi mentioned from Ahmad and Malik that the matter is broad.