Your written post is excellent, especially that you distinguish between wants and needs. Your graphic, however, leaves much to be desired. It took me a long time to realize that your image is a combination plan and elevation.
So, in a room like this, simple is better. Forget the L-shape, and just put the sink in the middle, between the stacked W/D and a counter with lower and upper and lower cabinets on the other side. Tweak the cabinet sizes to meet your specific needs.
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