Wrong is an adjective it has to be used with the verb to be eg: I am wrong, he is wrong, they are wrong... I was wrong he was wrong you were wrong...
Admit you are wrong. Is shortened to ‘Admit you’re wrong.’
You’re is an abbreviation of you are.
You could also say ‘you should admit that you were wrong’ or ‘can you just accept it that you’re wrong’
In the case of mistake and wrongdoings these are nouns which can be accepted or admitted . The verbs of accept and admit apply to the noun of mistake and wrongdoings.
I accept my mistake.
He accepts his mistake.
you accept your mistake.
They admit their mistake
We admit our mistake
And in the past
I admitted my mistake
You accepted your mistake
He accepted his mistake
We admitted our mistake
they admitted their mistake
Accept and admit can both be used. An s can be added on to make the mistake plural. (Mistakes)
It is possible to say admit your guilt but better to say admit you are guilty. So guilty is an adjective also used with the verb to be eg: you are guilty (you’re guilty) or I am guilty (I’m guilty) they are guilty (they’re guilty.
To say ‘accept your mistake’ is to make a demand or request of someone. This means you are ordering someone to do the verb admit to the noun mistake which belongs to that person(eg my mistake or your mistake or their his our...) this applies to wrongdoing and also error eg admit your error .