But why would that matter? You don't know 89 has your name in it, because the numbers were randomly assigned to random people in the first place. You would just draw the name associated with box 89, which is not necessarily your name.
Whatever box you open, you take the name inside and go to the number you associated with that name. So when you end up at box 89, the last box you opened must have had your name inside. So you will have found your name, provided you got there in under 50 steps.