And the notary, and the 90 day window for initial validity, and the biannual repetition.
-- I do understand the original question was about the chicken pox so your comment makes sense to that topic. --
It was coincidence that I'd just looked it up, and I think the "already had it" exemption (with the chickenpox carveout) is an interesting facet of Texas "mandatory" (scare quotes because NO vaccines are mandatory in Texas) vaccination law.
Of the whole process, that is the piece I don't understand.