PEP BB nest.sand.dishes - Wash Dishes by Hand

I used the soap Paul provided, Oasis Biocompatible Dish Cleaner to clean up after a Blueberry-Day Steak Dinner

Would either of these soaps work?

I saved up lots of dishes to make sure I would have enough to fill the dishwasher, but I might have saved up too many because I couldn’t fit them in very well. The jug is one gallon, so I did less then three of those between the two sinks.
Here’s a link to the biodegradable soap  I used: https://www.palmolive.com/en-us/faq

This was one of the longest and most mindful dish washing experience I had. So greatfull for what I learned from it!
1) I use a lot of water just rinsing my hands clean, something I can easily accomplish with a towel instead
2) I need just a tiny bit of water dripping to rinse the dishes

At home we only use lin oil soap, here's the link of the one we actually use, which is produced in Sweden: https://atlaspreservation.com/products/linseed-oil-soap/. The word "biodegradable" appears in  lin oil soap with natural scents which is marketed as hand soap: https://atlaspreservation.com/products/linseed-soap-cedar-eucalyptus-500ml
Another link from another US reseller: https://www.earthandflax.com/product-page/ottosson-linseed-oil-soap-5-liter

 It took me two batches of dishwashing to meet the dishwasher load goal. The first batch I calculated to be less than 1.72 gallons of water with the radius’s of the sink. The second batch was just under 1.25 gallons of water.
 I’m currently using seventh generation dish soap. It meets all of Australia’s standards and requirements for graywater use. Here’s the link. https://www.seventhgeneration.com/blog/dos-and-donts-greywater-systems.