Under the Cloak of War - S2-E8
Other mistake: The Klingon ambassador burns his hand when grasping a goblet. It is the palm of this hand that is burnt. When he is treated in Sick Bay with a dermal regenerator, it is being used on top of his hand.
Star Trek: Strange New Worlds (2022)
1 mistake in season 2 - chronological order
Starring: Rebecca Romijn, Anson Mount, Gia Sandhu
Trivia: For anyone curious, the quote "I pretended to be somebody I wanted to be until finally I became that person. Or he became me" was said by Cary Grant - to Pelia, clearly.