How the fuck would I know what tools they had at the time? Maybe that info is in there too?
If the vertical shafts do exist it could also have been a giant inductor/capacitor system for all we know. Seems too deep for geothermal heating/cooling.
The Egyptians had nothing to do with that construction. There's way too complex engineering and logistics involved regarding boring, excavation, earth and materials disposal, oxygen supply, underground illumination (torches? STFU), etc.