The verb concede means to admit, often unwillingly, that something is true.
Synonyms are accept, allow, give up, or grant.
The word origins from Middle French (1630s) concéder or directly from Latin concedere meaning “give way, yield, go away, depart, retire”, figuratively meaning “agree, consent, give precedence”. It comes from con- plus cedere meaning “to go, grant, give way”. From 1640s, its meaning is “to admit as true”. The intransitive sense “accept a disputed point, yield” is from 1780.
She started to concede defeat in the argument.
I’ll concede that I never heard it all the way through.
They concede that they were victims of bullying too.