I was just luring a chicken back to my base to start a chicken farm, and it decided to walk under a tree and died. The leaves of the tree were 1 block from the ground and since the chicken is only 1 block high, it should fit under with no problem, but it seems that while it can easily enter the space, it then suffocates and dies. I have seen this happen a few times now.
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Partial duplicate of MC-46765 but that one does not seem to address chickens with their smaller hit box.