Power of the UMP test at log 0.36

Let $X_1, X_2$ be a random sample from a population having probability density function $f_{\theta}(x) = \begin{cases} e^{(x - \theta)} & \text{if } -\infty < x \le \theta \ 0 & \text{otherwise} \end{cases}$, where $\theta \in \mathbb{R}$ is an unknown parameter. Consider testing $H_0: \theta \ge 0$ against $H_1: \theta < 0$ at level $\alpha = 0.09$. Let $\beta(\theta)$ denote the power function of a uniformly most powerful test. Then $\beta(\log_{e} 0.36)$ equals __________ (rounded off to two decimal places).