Consider, a kite weighing $100$ grams as essentially a rigid flat plate making an angle $8^{\circ}$ with the horizontal and having a planform area of $0.045 \mathrm{~m}^{2}$ when exposed to horizontal parallel wind of $60 \mathrm{~km} / \mathrm{h}$. The thread string of the kite makes an angle $45^{\circ}$ with the horizontal. A tension of $450$ grams in the thread is necessary to float the kite steadily. Take air density as $1.2 \mathrm{~kg} / \mathrm{m}^{3}$ and gravitational acceleration as $9.81 \mathrm{~m} / \mathrm{s}^{2}$. The lift coefficient $\left(C_{L}\right)$ associated with the air flow around steadily floating kite (rounded off to $2$ decimal places) is $\_\_\_\_\_\_$
