We call a number peachy if every digit in the number is either a $3$ or next to a $3.$ For example, the numbers $333,$ $83,$ $303,$ and $3773$ are all peachy, but the numbers $32523,$ $786,$ $340,$ and $3999$ are not peachy. How many positive $2$-digit numbers are peachy?

Guest Feb 19, 2021