A mistake is simply another way...

"A mistake is simply another way of doing things."
- Katharine Graham

I disagree. Imagine someone is driving down the freeway looking out for a specific exit but they make a mistake and take the wrong exit. They did not do the thing that they wanted to do, so, the mistake wasn't another way of doing it.

I will say that mistakes can be valuable lessons. I will also say that mistakes may accomplish something, although it will always be different than intended, whether it be somehow rewarding or somehow impeding. But nevertheless, a mistake is not an alternative method for accomplishing your goal.