Power of MP test for power-law density

Let $X$ be a random variable having a probability density function $$f(x; \theta)=\begin{cases} (3-\theta)x^{2-\theta}, & \text{if }0 < x < 1, \ 0, & \text{otherwise,} \end{cases}$$ where $\theta\in\{0, 1\}$. For testing the null hypothesis $H_0: \theta=0$ against $H_1: \theta=1$, the power of the most powerful test, at the level of significance $\alpha=0.125$, equals