For the half of year $2023,$ a firm with $30$ employees had three medical treatment injuries, seven first aid cases, one work$-$related illness in which the employee was required to work one week in restricted work activity, and one injury in which the worker lost six days of work. What is the OSHA DART rate?

$13\mathrm{.}3$

$26\mathrm{.}2$

$6\mathrm{.}65$

$40$