Great question — answering as the UphillTech team:
That style of handle is installed up from the bottom. Pop the H off the top of the handle. Remove the screw under it, and remove the handle. There might be a nut retaining the piece below the handle, or that piece itself is threaded on to the stem.
Full answer by longneck: https://diy.stackexchange.com/a/235670 (CC BY-SA 4.0).
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