How well could we calculate luminosity at FCCee?

In this note, we discuss the precision possible for the calculation of the small-angle Bhabha process that can serve as a luminosity monitor at the future FCCee collider. We present a refined, more aggressive version of the analysis done in the previous study. We conclude that the forecasted earlier precision of 1 $\times$ 10$^{-4}$ can be reduced to 0.76 $\times$ 10$^{-4}$ with the same calculational tools. We also analyse possibilities of a further reduction of the error to the close to 10$^{-5}$ precision regime. We discuss conditions necessary for such an ambitious goal.