Right, and based on what you said about age, comorbidity, and medical histories not factoring into those lists, you seem to be referring to determinations made for people who qualify as HCWs, first responders, essential workers, and LTCF residents and staff (mostly Phase 1a, with variations depending on jurisdictional definitions).
I'm asking what process, if any, your health institution has in place for confirming the eligibility of people in the phases of vaccine distribution where the presence of comorbidities
do factor into the eligibility equation, and what specific information (volunteered or not) your institution will require to confirm their eligibility to receive a vaccine on medical grounds during those phases.
Specifically I'm referring to people eligible for medical reasons in
Phases 1b and 2 of the graphic below (I'm aware the graphic doesn't represent every state's rendition of this general phasing approach):
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