Conditional variance in a joint pmf

If $(X,Y)$ is a random vector with the joint probability mass function $$f(x,y)=\begin{cases}2e^{-3}\dfrac{3^{2x-y-1}}{x!},&x=0,1,2,…; y=x,x+1,x+2,…,\\0,&\text{otherwise,}\end{cases}$$ then $\operatorname{Var}(Y\mid X=2)$ equals __________ (rounded off to two decimal places)