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How does Section 822.13 of the Health and Safety code affect the analysis, if at all? It provides:
§ 822.013. DOGS OR COYOTES THAT ATTACK ANIMALS. (a) A
dog or coyote that is attacking, is about to attack, or has recently
attacked livestock, domestic animals, or fowls may be killed by:
(1) any person witnessing the attack; or
(2) the attacked animal's owner or a person acting on
behalf of the owner if the owner or person has knowledge of the
attack.
(b) A person who kills a dog or coyote as provided by this
section is not liable for damages to the owner, keeper, or person in
control of the dog or coyote.
(c) A person who discovers on the person's property a dog or
coyote known or suspected of having killed livestock, domestic
animals, or fowls may detain or impound the dog or coyote and return
it to its owner or deliver the dog or coyote to the local animal
control authority. The owner of the dog or coyote is liable for all
costs incurred in the capture and care of the dog or coyote and all
damage done by the dog or coyote.
(d) The owner, keeper, or person in control of a dog or
coyote that is known to have attacked livestock, domestic animals,
or fowls shall control the dog or coyote in a manner approved by the
local animal control authority.
(e) A person is not required to acquire a hunting license
under Section 42.002, Parks and Wildlife Code, to kill a dog or
coyote under this section.

Added by Acts 1989, 71st Leg., ch. 678, § 1, eff. Sept. 1, 1989.
Renumbered from Health & Safety Code § 822.033 and amended by
Acts 2003, 78th Leg., ch. 1002, § 1, eff. Sept. 1, 2003.