My street hockey team plays three games each week. My team lost all $12$ games in the first four weeks. Then, my team won two games and lost one game in the fifth week, bringing our record to $2$ wins and $13$ losses. Each week after that, my team won two games and lost one game. My team first wins at least $80\%$ of all its games by the end of the first $n$ weeks. What is $n$?