Study Yoma folio 61A with parallel Hebrew-English text, traditional commentary, and modern study tools. Free access to Babylonian Talmud online.
The Talmud answers that this is no proof, as he is not dealing with the incense. In practice, the High Priest must indeed go back and scoop new incense after slaughtering the bull. The Mishnah did not mention this detail because it is discussing the issue of the sprinkling of blood, not the incense
§ Ulla said: With regard to a goat that he slaughtered before presentation of the blood of the bull, it is as though he did nothing. The Talmud asks: But we learned in the Mishnah that if he performed the sprinkling of the blood of the goat before the sprinkling of the blood of the bull, he must
§ The Mishnah states: And similarly in the Sanctuary, and likewise on the golden altar, if the blood spills he must go back and begin that cycle of sprinklings afresh. A baraita states: “And he shall make atonement for the most sacred place, and he shall make atonement for the Tent of Meeting and
“The priests” is meant as per its plain meaning; “people of the assembly,” these are the Israelites; “he shall make atonement,” these are the Levites, who also gain atonement. They are all equated in this verse in that they achieve one atonement in this verse, which indicates that they all achieve
R' Shimon says: Just as the blood of the goat presented inside atones for Israelites who sinned with the ritual impurity of the Temple and its consecrated objects, so too, the blood of the High Priest’s bull atones for the priests who sinned with the ritual impurity of the Temple and its consecrated