Can zinc supplements help with hair health related to alopecia areata?

Hello, Hairloss experts. Can taking zinc supplements help for good hair health? Especially immune related hair loss such as alopecia areata. Let say kenalog grew back the hair and you want to maintain a good immune health by adding a zinc supplement. Since there are so many zinc types, which one is good? And what are usual dosages for males? I know overall zinc is health for hair skin and nails. Can adding it to a diet in supplement form help? Thank you