Did the Prophet, may Allah's prayers and peace be upon him, begin supplications with himself?

It has been established that the Prophet, peace and blessings be upon him, when supplicating for others, would begin with himself. In Sunan al-Tirmidhi, on the authority of Ibn Abbas, may Allah be pleased with both of them, from Ubayy ibn Ka’b: “When the Messenger of Allah, peace and blessings be upon him, mentioned someone and supplicated for them, he would begin with himself.” In a narration by Abu Dawud: “The Messenger of Allah, peace and blessings be upon him, when he supplicated, would begin with himself, and he said: ‘May Allah’s mercy be upon us and upon Musa (Moses).’”