Sum of Type-II error probabilities

Let $X_1, X_2, \dots, X_5$ be a random sample from a $\mathrm{Bin}(1, \theta)$ distribution, where $\theta\in(0, 1)$ is an unknown parameter. For testing the null hypothesis $H_0: \theta\le 0.5$ against $H_1: \theta > 0.5$, consider the two tests $T_1$ and $T_2$ defined as: $T_1$: Reject $H_0$ if, and only if, $\sum_{i=1}^5 X_i = 5$. $T_2$: Reject $H_0$ if, and only if, $\sum_{i=1}^5 X_i \ge 3$. Let $\beta_i$ be the probability of making Type-II error, at $\theta=\frac{2}{3}$, when the test $T_i, i=1, 2$, is used. Then, the value of $\beta_1+\beta_2$ equals __________ (round off to two decimal places)