On further review, I'm gonna back away from my earlier post. Seems turkeys are not specifically covered.
Source document
https://adata.org/publication/ADA-faq-booklet#Public Accommodations
Q. What is the definition of a service animal under the ADA?
A. A service animal is any dog that is individually trained to do work or perform tasks for the benefit of an individual with a disability, including a physical, sensory, psychiatric, intellectual, or other mental disability.
Other species of animals, whether wild or domestic, trained or untrained, are not considered to be service animals. Examples of work or tasks include, but are not limited to, assisting individuals who are blind or have low vision with navigation and other tasks, alerting individuals who are deaf or hard of hearing to the presence of people or sounds, providing non-violent protection or rescue work, pulling a wheelchair, assisting an individual during a seizure, alerting individuals to the presence of allergens, retrieving items such as medicine or the telephone, providing physical support and assistance with balance and stability to individuals with mobility disabilities, and helping individuals with psychiatric and neurological disabilities by preventing or interrupting impulsive or destructive behaviors. The crime deterrent effects of an animal’s presence and the provision of emotional support, well-being, comfort, or companionship do not constitute work or tasks.
Q. What type of inquiries can be made about the use of a service animal?
A. To determine if an animal is a service animal, a public entity or a private business may ask two questions: 1) Is this animal required because of a disability? and 2) What work or task has this animal been trained to perform? These inquires may not be made if the need for the service animal is obvious (e.g., the dog is guiding an individual who is blind or is pulling a person’s wheelchair.) A public entity or private business may not ask about the nature or extent of an individual’s disability. They also may not require documentation, such as proof that the animal has been certified, trained or licensed as a service animal, or require the animal to wear an identifying vest.
Q. Are miniature horses service animals?
A. No, however a public entity or private business shall make reasonable modifications in policies, practices, or procedures to permit the use of a miniature horse by an individual with a disability if the miniature horse has been individually trained to do work or perform tasks for the benefit of the individual with a disability. Factors that a covered entity may consider in determining when such a modification is reasonable include the type, size, and weight of the miniature horse and whether the facility can accommodate these features; whether the individual has sufficient control of the animal; whether the animal is housebroken; and whether legitimate safety requirements that are necessary for operation of the business or program will be compromised.
Beyond these additional considerations, a covered entity may only make the same kinds of inquiries permitted in the case of service dogs and may not ask about the nature of the individual's disability or require documentation that the miniature horse is trained.