UMP test for a Laplace scale

Let $X_1,X_2,…,X_n$ be a random sample from a continuous distribution with probability density function $$f(x;\theta)=\frac{1}{2\theta}e^{-|x|/\theta},\quad x\in\mathbb{R},$$ where $\theta>0$ is an unknown parameter. The critical region for the uniformly most powerful test for testing the null hypothesis $H_0:\theta=2$ against the alternative hypothesis $H_1:\theta>2$ at level $\alpha$, where $0<\alpha<1$, is