Don’t hide behind “I was tired” or “I was just mad.” You still said it.

State explains and it does not cancel. Being exhausted or furious genuinely makes you worse at choosing words, and that is useful information for next time, but the words still arrived and the other person still has them. Offering the condition as a defence quietly asks them to treat what you said as not having counted.

Own the sentence first and mention the state second, if at all. Say that you said it and you were wrong to. Then deal with the tiredness separately, because that part is a real thing you can manage.