None of this is practical. You can’t build a tower like this for any real storage, it’s just not efficient. The only effective method is running a train up a mountain, or pumping water uphill. If you have to actually build a mountain a first, it’s not going to work.
The statistic you’re looking for is energy density. It’s usually expressed as Watthour per kilo(Wh/kg). Li-ion batteries are somewhere around 300Wh/kg, or about 1 megajoule though less if you’re making it into a building.
Lifting a big weight provides you with Mass x 9.81 x Height amount of joules. So lifting 1 kg for 100m gives you 1x10x100~ 1 kilojoule.
So, to charge my 300kg, 32.000 Wh Nissan leaf battery (130Wh/kg, what you get when you actually build batteries in the real world), you would need to lift a mass of 115tons to 100 meters. So to charge a single car, at 100% efficiency, you need to lift 72 entire cars. Just so I can drive to work and back. And real-world efficiency is far below 100%, just think of the friction.
I think you’ve spotted the reason why we don’t actually build gravity batteries. Imagine lifting 115 tons to 100m, that requires a massive crane, itself weighting nearly half that. That’s why all gravity storage in existence basically consists of pumping water uphill, onto pre-existing mountains and lakes that nobody had to fabricate out of concrete and steel.