My right mouse button hasn't been working, so I switched the "Use Item" control away from mouse2. For some reason this changes what button is used to place blocks/eat food, but NOT what button is used to split stacks of items in half. Basically, there is no way to change the "split stacks" button away from mouse2.
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Duplicate of MC-577, please use the search function to see if your bug has already been submitted. Currently over 58% of tickets are being closed as duplicate.