EPPA number of cycles

Let $C_n$ be the cycle on $n$ vertices, and let $\mathop{\mathrm{eppa}}(C_n)$ be its EPPA number.

Cycle EPPA conjecture. If $n\geq 7$, then

$$\mathop{\mathrm{eppa}}(C_n)={n\choose 2}.$$

This conjecture asserts that the previously stated upper bound for the EPPA number of $C_n$ is sharp. The source does not report a resolution.