I'm sure your breakout has nothing to do with Mino. It's an antibiotic, and it should theoretically stop the bacteria from causing new breakouts; but you probably know this already.
When I started Mino one year ago, I did
break out, but that had more to do with my breakout "cycle" than with Mino. Luckily, I saw noticeable improvement from Mino after six weeks, and was clear after eight weeks. My acne was moderate with ocassional cysts.
Best of luck to you!