Erratum: New temperature inversion estimator to detect CMB patchy screening by large-scale structure [Phys. Rev. D <b>109</b>, 103539 (2024)]

In Sec.V B, we claim the TI and signed estimators are unbiased in the presence of lensing.In general, this is not true; without adaptations, the estimators are only unbiased in the case of an infinitely small beam and careful filtering of the output reconstructed signal.In this erratum, we derive the source of the bias and present a minimal adaptation of the TI estimator to mitigate the lensing bias.The lensing bias to our anisotropic screening estimator was first identified in Refs.[1,2], along with more insights into the lensing bias, a more optimal lens-hardened screening estimator, and associated updated detection signal-to-noise (S/N) forecasts.