Sarah operated a sandal making factory and store and is curious how much time she has available per year for production. Sarah knows she needs a $15\%$ capacity cushion per year as well. She also has said that her factory operated $2$ shifts per day one is $300$ minutes long and the other is $180$ minutes long. Additionally, Sarah's factory operates $44$ weeks per year and $5$ days per week. How many hours are available for Sarah's production after considering the $15\%$ capacity cushion?