I don't mind admitting, telling you..., etc. spoken language informal
Used when you want to tell someone something even if it can make you embarrassed or depict you unfavorably
I don’t mind admitting that I cried a lot when I broke up with my first love.
I don't mind telling you that I used to be a drug addict.
White lie
To make someone learn something by repeating it many times
To be told about something
To tell everyone about or publicize something
After the phrase "I don't mind admitting, telling you..., etc.", the verb is often used in the past tense.