Lets not entertain the frame where you ASK for a religious exemption and they GRANT you the exemption.

You don’t ASK them for a religious exemption, you TELL them you have a religious exemption.

And even that is too much.

Tell them your medical status is none of their business, and that you wont be disclosing your status, or taking tests, or vaccines, etc

Tell them that ALL medical treatments are OPT-IN, not opt-out.

And that you won’t be opt-ing in, and even if you do decide to opt-in, you won’t be disclosing that info to anyone who doesn’t need to know