Translation of "L'avoue" in English

Je l'avoue, j'ai eu tort.

I admit it. I was wrong.

Je l'avoue: j'ai beaucoup suivi cette chaîne

I confess: many times I also fall in this chain

Je l'avoue, c'est moi en costume de Harry Potter.

Yes, so I admit this is a picture of me in a Harry Potter costume,

- Je l'avoue, j'ai eu tort.
- J'admets avoir eu tort.

- I admit it. I was wrong.
- I admit that I was wrong.