TT points to Zevachim 101b (Moshe’s portion) and the seven-day restriction (verified via Essential Torah Temimah).
E-Daf: Zevachim 101b
למשה היה למנה — אמר רב: משה רבינו כהן גדול היה וחלק בקדשי שמים, שנאמר מאיל המלואים למשה היה למנה. ומפתח אהל מועד לא תצאו שבעת ימים — איסור יציאה משך שבעת ימי המלואים.
“To Moshe it was for a portion” — Rav said: Moshe our teacher was a High Priest and shared in the sanctified offerings of Heaven, as it is written “from the ram of the consecration; to Moshe it was for a portion.” “And from the door of the Tent of Meeting you shall not go out for seven days” — the prohibition of leaving during the seven days of consecration.
Custom — status of Moshe and the seven-day restriction.
Moshe received the breast of the miluim ram as his portion (functioning in a high-priestly capacity). Aharon and his sons may not leave the entrance of the Tent of Meeting for the full seven days of their consecration.