 there exists $C_{00} > 0$ so that, for $\varepsilon$ small enough, $$\left|\left| \left(- \Delta_{\varepsilon,c} - \frac{\lambda_0}{\varepsilon^0 M^0} \Id \right)^{-0} - \left(T_{\varepsilon,c}^{-0} \oplus 0\right) \right| \right| \leq C_{00}\, \varepsilon^{0/0},$$ where $0$ denotes the null operator on the subspace ${\mathcal L}^\perp$. ]{}  