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Normally you'd create a 3S2P pack. You'd put 2 cells in parallel and then put those 2-cell packs into a 3 series configuration.
Let me also suggest looking for pouch cells. If you can find 3 flat cells that take up about the same width and length (or less) of the existing pack and stack 3 of them together you'd probably get a much much higher capacity pack over cylindrical cells. There are small battery protection boards that can be added too if you wish.
Consider looking at LiFePO4 cells as they'd probably be a better match voltage wise. They are 3.2v nominal (9.6v in a 3S) and at full charge are 3.65v (10.95v).
You might be able to find a small protection board that handles balancing for a 3S configuration.
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The lithium ion cells in 3S are 11.1V nominal and 12.6V fully charged, which is perfect for the 817. Right now it has a pouch cell pack, and I can't find a replacement for it that isn't marked up higher than I want to go. This existing pack is 3000 mAh, which is good, but the lithium 14500s should still beat the factory Yaesu NiMh AAs, even going to 6 cells instead of 8.
I looked on Amazon because I have a gift card, but couldn't find any 3S pouch packs with matching dimensions. But I know such a pack should cost no more than $30 based on other 3S pouch packs with the same capacity. Yet to get the branded version, it's nearly $100.
Is there a place where you can look up packs by their voltage, capacity and external dimensions?