avouer

/avwe/
2.
verbInf1st

to admit (frankly); used as a discourse marker meaning "I must admit"

J'avoue que je n'aime pas trop sa nouvelle coupe.

I must admit I don't really like his new haircut.

1.
verbInf1st

to confess

to admit (a wrongdoing, a secret, or one's feelings)

Il a fini par avouer qu'il avait tort.

He finally admitted that he was wrong.