For tax purposes, none of that would disqualify you from claiming that person as a dependent.
However, it is possible that if you claim that person as a dependent, it could disqualify that person from some or all of those benefits.
For the Arizona Medicaid (AHCCCS), if the person is your child, it would disqualify that person if you claimed that person as a dependent. If it isn't your child, it would probably not disqualify that person.
For the Food Stamps, each State has their own rules, so you would need to contact your state agency to find out their rules.
