Technically youd call animal control or 911 with a non emergency but if the animal responds to and approaches you, you can still bring them in. Remember personal safety though. Even a seemingly friendly animal may be disoriented or confused, and can bite without warning.
Still get picked up. You called 911 non-emergency line let them know that it's a loose pet animal emergency and they will patch you to the on-call Animal control officer
I'm not very sure about the answer, but I do know of many people bringing them in.
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