Can I get a tax refund for my subscription if I'm a tax-exempt organization?

Yes. If you are a tax-exempt organization, you can have your tax charge refunded after your purchase. Unfortunately, this can’t be done automatically within the Adobe Store. Instead, you can complete your purchase in the Adobe Store and then contact Customer Support to receive a tax refund. Customer Support can be contacted here. There is more information about tax-exempt purchases here, including the documentation required here.