Your guess on the cost of the project is low by at least a factor of 4.
DOE says installed cost for PV at grid scale is still above $1/W. www.energy.gov/eere/solar/solar-photovoltaic-system-cost-benchmarks
Battery costs of $60/kWh is factory for for raw cells. We're getting bids above $240/kWh for packaged, delivered, installed modules.
Plug these in instead and project costs are at least $10.2B before financing costs.
This jives with numbers given by Jigar Shah of the US Loan Programs office. In an interview, he indicated that if nuclear gets Nth of a kind back down to $12000/kW, that beats competing firm technologies.