For some reason, ever since Witches were added, they still CAN'T open doors despite being intelligent enough to brew potions.
How to reproduce:
Put a door, ideally next to a hole so mobs will detect you.
Get a Witch to chase after you. Make sure there is a closed door between you and the Witch.
Observe that the Witch does not even open door.
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despite being intelligent enough to brew potions
As @unknown stated, this is a feature request. Go to https://feedback.minecraft.net/hc/en-us
Edit: MC-159088, which is a similar issue to this, was marked as Invalid.
Thank you for your report!
After consideration, the issue is being closed as Invalid.
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Please note that not all mobs can open doors in Minecraft and from what I know witches do not have the ability to open doors like villagers or other mobs.