I was definitely wrong with my initial calculations! I have since revised them. I've come up with an additional 2.3 inches of water for a total of about 2.9 inches of water.
I must say I do not agree with your method of calculation. You're counting the fittings as if they're all in series, and you're even counting them twice. A single molecule of water passing through the system is not going to flow through every single fitting. It should only flow through 18 fittings, 16 straight and 2 elbow. That is why you see a benefit from running parallel pumbing lines.
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