Thank you as I understand the verb I shoud use is: признавать / признать. But why the correct is not the "я признаваю свою ошибку". As a non native for me: "Признаю свою ошибку: meas "I will admit my mistake" and not "I admit my mistake"
Признаю - I admit (imperfective, present)
Признаю - I will admit (perfective, future)