This project also includes wind, which doesn't require sun.
"A week's worth of storage" feels somewhat like an armchair simplification. It roughly sounds on target if we're moving toward the march of nines for real-time zero-carbon power supply, but...that honestly doesn't need to be the target expectation for today. Long term goal, yes. Today's targets really should be to get to 90-95% renewable, since chasing the last 5% will be the hardest and most expensive—and that's probably where we can acceptably use some dirtier backup sources. With the state of the grid today, there's lots and lots of power sources that can be replaced for cheaper and cleaner before we need to chase the long tail of 100% renewable at all hours during every season.
The reality though, is that all of these requirements are modeled, and the operator surely has their install min/maxed for typical use.
At the risk of being off topic, I personally have what energy-wonks could consider a "three hour" system (10kW solar, 15kW/43.5kWh battery, my typical daily energy use is between 25-50kWh, higher if I need to charge the car) and have done two weeks fully off-grid last summer, which included some cloudy weather. (True off-grid: the utility breaker was open to hard disconnect from the grid). While I could probably live full-time off grid in the summer, I definitely feel its better to have my system help clean up the grid where possible. So there's really a lot of flexibility to be had depending on the system's requirements.
