I'm noticing similar issues here with code that hasn't changed on my end. It broke at around 13:25 PT for me. Stuck ever since.
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Update: working and downloading the beta now. Triggered it via Software Update on the Watch after installing the profile.
You can fix the link by yourself, have a look at the other profiles. However even after downloading and installing it, it ends up in a “Unable to Check for Update” for me.