Yeah, no.

Here’s my analysis for free:

https://www.saveenergynb.ca/en/education-and-tips/energy-efficiency-articles/which-is-more-energy-efficient-dishwasher-vs-hand-washing/

https://www.kitchenaid.com/pinch-of-help/major-appliances/dishwasher-vs-hand-washing.html

https://www.whirlpool.com/blog/kitchen/do-dishwashers-save-water.html

https://www.cnet.com/home/kitchen-and-household/how-much-water-do-dishwashers-use/

https://watercalculator.org/posts/dish-washing/

https://www.nrdc.org/stories/9-tricks-save-tons-wate

https://www.treehugger.com/built-in-dishwashers-vs-hand-washing-which-is-greener-4858791

https://www.popsci.com/environment/science-of-using-dishwasher-vs-handwashing/

https://www.npr.org/sections/thesalt/2017/11/24/564055953/to-save-water-should-you-wash-your-hands-of-hand-washing-dishes

https://www.sitzmansmaytag.com/blog/dishwasher-vs-handwashing

They range the gamut from very reputable sources to (what amounts to) “Fred’s Blog on life and musings”.

Your turn to refute or this is, basically, over.