\(B=2022^0+\left(-1\right)^{2021}+\left(-\dfrac{3}{2}\right)^2:\sqrt{\dfrac{9}{4}}-\left|-\dfrac{2}{3}\right|\)
\(=1-1+\dfrac{9}{4}:\dfrac{3}{2}-\dfrac{2}{3}\)
\(=\dfrac{9}{4}\cdot\dfrac{2}{3}-\dfrac{2}{3}\)
\(=\dfrac{3}{2}-\dfrac{2}{3}\)
\(=\dfrac{5}{6}\)