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 other mistake in Under the Cloak of War
Starring: Rebecca Romijn, Anson Mount, Gia Sandhu
Plot hole: In Episode 1-7: The Serene Squall, the Enterprise is at the edge of Federation space, and it is stated that it would take two days for a message to be received by Starfleet. Later in the episode, they have no problem establishing a real-time connection to Vulcan, which, according to canon, is only 16.5 light years away from Earth.
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.