Yoma 17B

אי אמרת בשלמא במערבית דרומית הואי, היינו דמתרץ לחם הפנים אלחם הפנים. אלא אי אמרת צפונית מערבית הואי, סוף סוף מאי תירוצא דלחם הפנים! אלא לאו שמע מינה, במערבית דרומית הואי. שמע מינה.

Granted, if you say that the Chamber of the Lambs was actually closer to the southwest corner, that is how Rav Huna resolves the contradiction between one Mishnah discussing the showbread and the other Mishnah discussing the showbread. However, if you say that the Chamber of the Lambs was in the northwest corner, ultimately, what is the resolution with regard to the showbread? Even if you envision the path from the other direction, the Chamber of the Seals interposes between the Chamber of the Lambs and the chamber where the showbread is prepared. Rather, must one not conclude from it that the Chamber of the Lambs was indeed in the southwest? The Talmud concludes: Indeed, conclude from it that this is so.

והאמר מר: כל פינות שאתה פונה לא יהיו אלא דרך ימין למזרח? הני מילי בעבודה. אבל הכא ⁠— חושבנא בעלמא הוא.

The Talmud questions the assertion that one tanna envisions the chambers as one coming via the left. But didn’t the Master say: All turns that you turn should be only to the right, which in certain cases is to the east? Here the turns are to the left. The Talmud answers: This restriction applies only in the course of performing the Temple service; however, here, it is a mere reckoning, and no priest actually proceeded that way from one chamber to the other.

שכהן גדול מקריב חלק בראש ונוטל חלק בראש. תנו רבנן: כיצד מקריב חלק בראש? אומר: עולה זו אני מקריב, מנחה זו אני מקריב.

§ It was taught in the Mishnah: As the High Priest sacrifices any portion that he chooses first and takes any portion that he chooses first. A baraita states: How does the High Priest sacrifice any portion that he chooses first? If the High Priest so desires, he says: This burnt-offering, I am sacrificing, or: This meal-offering, I am sacrificing. That is sufficient, and the High Priest does not participate in a lottery.