Fourier restriction conjecture for the paraboloid over $\mathbb Z/N\mathbb Z$

Let $n\geq 2$, let $N$ be an odd positive integer, and let $\mathcal{E}$ denote the extension operator for the paraboloid over $\mathbb Z/N\mathbb Z$, acting on functions $H$ on $[\mathbb Z/N\mathbb Z]_*^{n-1}$. The norms are taken with counting measure on $[\mathbb Z/N\mathbb Z]^n$ and normalized counting measure on $[\mathbb Z/N\mathbb Z]_*^{n-1}$. Fourier restriction conjecture for the paraboloid over $\mathbb Z/N\mathbb Z$. For all $\varepsilon>0$ there exists a constant $C_{\varepsilon}>0$ such that

$$\|\mathcal{E}H\|_{\ell^{2n/(n-1)}([\mathbb Z/N\mathbb Z]^n)}\leq C_{\varepsilon}N^{\varepsilon}\|H\|_{\ell^{2n/(n-1)}([\mathbb Z/N\mathbb Z]_*^{n-1})}$$

for all odd $N\in\mathbb N$. This is the endpoint estimate predicted by the full conjectured restriction range for the paraboloid over the finite rings; the source does not give a resolution of this endpoint statement.