FWIW, I just watched a YouTube video where a guy in San Diego (2021) had a greywater collection system installed at his house to collect the laundry and shower water. His system cost him over $2000 to install, and he figured out that amounts to $0.48 per gallon for year 1. Assuming his system lasts 10 years, he calculated his cost of greywater recycling to be $0.048 per gallon. The bad/good news is that he only pays $0.006 per gallon for fresh water. So, for him, even after 10 years, it is still costing 8X as much for using his recycled water than if he just used fresh water from the tap!

Not a good deal to recycle greywater for him if you crunch the numbers.
Of course, his disclaimer was that you could save money by doing all the labor yourself, and your water usage and price you pay per gallon of fresh water may differ. Therefore, your calculations might be more favorable. As in most cases, he was trying to convince himself that he was saving the planet and therefore paying 8X the cost of fresh water over 10 years was worth it to him.
Oh, he also said that you cannot recycle dishwater because of the oils, grease, and butters in the wash. For the shower and laundry water that you can save, you need to get the eco-friendly soaps that cost a premium. That was not calculated into his cost numbers per gallon of recycled water.

I guess if you wanted to be more water efficient in the home, it makes more sense to just buy a new water efficient washing machine, use an on/off switch on the shower head, and get one of those half flush toilets for urine flushes only.