\begin{align*}
    Q\left(\tau \leq \frac{3B}{\Delta_Q}, \mathcal{H}_{\tau}\notin T(Q)\right) &\leq Q\left(\exists t\in \left\{B, \dots, \frac{3B}{\Delta_Q}\right\}: \ h_t\notin T(Q)\right) \\
    &\leq \sum_{t=B}^{\frac{3B}{\Delta_Q}} Q(h_t\notin T(Q)) \\
    &\leq \sum_{t=B}^{\frac{3B}{\Delta_Q}} 5(t+1)^K \exp\left(-\frac{t}{C\sqrt{B}}\right).
\end{align*}
