Distribution of time-slewing corrections over all channels, an example for one single channel is provided as reference A reference at zero was taken for all channels at ToT = 12.5 ns The reported time-slewing calibration was obtained from the data taken with pp collisions at $\sqrt{s} = 13.6$~TeV. A sufficient statistics is required to ensure that the statistical uncertainty on the extracted correction remains below 10~ps The shape of the correction is driven by the rise-time dependence of the discriminator threshold.