Related for Megillah 18:6
<big><strong>מתני׳</strong></big> אין בין כהן משוח בשמן המשחה למרובה בגדים אלא פר הבא על כל המצות
There is no difference between a priest anointed with the oil of anointment and one who [only] wears the additional garments except for the bull which is offered for the [unwitting transgression of] any of the commandments.
Tosefta Megillah
There is no difference between a currently serving high priest consecrated through anointing and a former high priest except for [the current can perform] the bull of Yom Kippur and the tenth of an eipha [daily offering]. ...
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