Binomial MGFs and a small convolution

Let $X$ and $Y$ be independent random variables with respective moment generating functions $$M_{X}(t)=\frac{(8+e^{t})^{2}}{81}\quad\text{and}\quad M_{Y}(t)=\frac{(1+3e^{t})^{3}}{64}, -\infty<t<\infty$$ Then $P(X+Y=1)$ equals __________ (round off to two decimal places)