The local correlations shown in Fig. are defined as the average value of the dot-product between nearest neighbours in the xy-plane (the first interaction described in Section 2.1), and along the z-direction (the second interaction in Section 2.1). We note that local correlations are retained well above the paraelectric transition. Interestingly, the correlation between neighbours in the xy-plane remain strong after the overall polarisation in the plane is lost. This supports our claim that, locally, the structure remains close to the ground state structure, but the long-range order disappears due to neglecting strain contributions.