When I summon a wither for fun with no AI, I found that the health bar didn't drop even its armor appeared.
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Thank you for your report!
We're actually already tracking this issue in MC-84243, so I 've resolved and linked this ticket as a duplicate.
That ticket has already been resolved, which means this is not considered a bug and won't be fixed.
If you haven't already, you might like to make use of the search feature to see if the issue has already been mentioned.
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