admit, acknowledge, confess
No creo que Tom admita que no tiene ni idea.
I don't think Tom will admit that he hasn't got a clue.
Haz que admita que firmó esas órdenes.
Make him admit that he signed those orders.
— Nuremberg: El Juicio Del Siglo (2025)
Aunque nadie lo admita, Paula es una gran cocinera.
Although no one will admit it, Paula is a great cook.
Es difícil que uno admita que es un perdedor.
It's hard for someone to admit that they're a loser.