Two Missing Days Before a Print Arrives

A local-level model satisfies $x_t=x_{t-1}+w_t$ with $w_t\sim N(0,1)$, and observations have noise variance 2. After the last filtered state $N(3,4)$, there are 2 consecutive missing observations. Then you observe a new value $y=6$. Compute the variance just before the new observation and the updated mean/variance after processing it.