${\mathrm{Ideal}}_{\mathcal{A}}^{\text{EKV-VBQ}}\left(1^k\right)$: An interactive experiment between the adversary $\mathcal{A}$ and the simulator $\mathcal{S}im$. Based on the leakage functions ${\mathcal{L}}_1$ and ${\mathcal{L}}_2$, the simulator $\mathcal{S}im$ generates a simulated $\tilde{\mathsf{I}}$ and $\tilde{\mathsf{D}}$ and sends them to the adversary $\mathcal{A}$. The adversary $\mathcal{A}$ can make polynomial-time adaptive queries $(L_i,f\left(L_i\right))$ to the simulator $\mathcal{S}im$. For each query, the simulator $\mathcal{S}im$ can access the leakage function ${\mathcal{L}}_3$ and return the corresponding simulated query token $\widetilde{{\tau }_i}$. Finally, the adversary $\mathcal{A}$ returns a bit b as the output of the experiment.