Find all exact radian solutions within the interval $\displaystyle {\left[{0},{2}\pi\right)}$. Separate different solutions using a comma, if needed. Express each final solution as a fraction of lowest terms. 

 $\displaystyle {\csc{{\left({x}+\frac{\pi}{{4}}\right)}}}=$$\displaystyle \frac{{{2}\sqrt{{{3}}}}}{{3}}$