Overview of the path to 0.01% theoretical luminosity precision for the FCC-ee and its possible synergistic effects for other FCC precision theory requirements

To exploit properly the precision physics program at the FCC-ee, the theoretical precision tag on the respective luminosity will need to be improved from the 0.054% (0.061%) results at LEP to 0.01%, where the former (latter) LEP result has (does not have) the pairs correction. We present an overview of the roads one may take to reach the required 0.01% precision tag at the FCC-ee and we discuss possible synergistic effects of the walk along these roads for other FCC precision theory requirement