Yoma 61A

בקטורת לא קא מיירי.

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 service.

אמר עולא: שעיר ששחטו קודם מתן דמו של פר ⁠— לא עשה ולא כלום. תנן: הקדים דם השעיר לדם הפר ⁠— יחזור ויזה מדם השעיר אחר דם הפר. ואם איתא ⁠— יחזור וישחוט מבעי ליה! תרגמא עולא, במתנות שבהיכל. וכן אמר רבי אפס, במתנות שבהיכל.

§ 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 repeat the action and sprinkle the blood of the goat after sprinkling the blood of the bull. And if it is so that Ulla is correct, the Mishnah should have said that he must return and slaughter another bull. The Talmud answers: Ulla interpreted the Mishnah as referring only to the presentations in the Sanctuary that were performed out of order. However, it is essential that the presentations in the Holy of Holies must be performed before the slaughter of the goat. And likewise, R' Afes said that the Mishnah is referring to the presentations in the Sanctuary.

וכן בהיכל וכן במזבח וכו׳. תנו רבנן: ״וכפר את מקדש הקודש״⁠ — זה לפני ולפנים, ״אהל מועד״⁠ — זה היכל, ״מזבח״⁠ — כמשמעו, ״יכפר״⁠ — אלו עזרות.

§ 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 should make atonement for the most sacred place, and he should make atonement for the Tent of Meeting and for the altar; and he should make atonement for the priests and for all the people of the assembly” (Leviticus 16:33). “And he should make atonement for the most sacred place,” this is the innermost sanctum, the Holy of Holies; “the Tent of Meeting,” this is the Sanctuary; “altar” is meant as per its plain meaning; “he should make atonement,” is referring to the second mention of this phrase in the verse, these are the courtyards.