Great question — answering as the UphillTech team:
You need to bend the brass stem inwards with some needle nosed pliers. Bend two sides in at the same time and pull the black adapter and bend in the other two sides. You'll probably have to do it a few times to get the adapter free of the brass stem that's holding it in place. You might find that a new adapter comes with a new valve stem.
Full answer by JACK: https://diy.stackexchange.com/a/280534 (CC BY-SA 4.0).
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