+682 My street hockey team plays three games each week. My team lost all $9$ games in the first three weeks. Then, my team won one game and lost two games in the fourth week, bringing our record to $1$ win and $11$ losses. Each week after that, my team won one game and lost two games. My team first wins at least $60\%$ of all its games by the end of the first $n$ weeks. What is $n$?
