Size plus power of a test for a uniform on moving support

Let $X$ be a sample observation from $U(\theta,\theta^2)$ distribution, where $\theta\in\Theta=\{2,3\}$ is the unknown parameter. For testing

$$H_0:\theta=2 \text{ against } H_1:\theta=3,$$

let $\alpha$ and $\beta$ be the size and power, respectively, of the test that rejects $H_0$ if and only if $X\ge3.5$. Then $\alpha+\beta$ equals ____________ (round off to 2 decimal places)