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It is true. She has to follow the procedures as outlined in the Codes before initiating eviction action against you.
The eviction cannot be based on hearsay. There must be concrete evidence. Based on your post here she does not have any concrete evidence and thus she cannot prevail. If the dog is not even at your house when the barking was/is going on, then she would have trouble evicting you for your dog barking/crying at those hours, period.