Marc Levy A Covid vaccination is delivered May 1, 2021, at a clinic held at the Reservoir Church in North Cambridge.

The state announced new eligibility guidelines on Wednesday for Covid vaccinations that apply to local immunization programs such as the Cambridge Public Health Department’s fall Covid and flu shot clinics.

Still, details about the clinics remain uncertain and the announcement added to the turmoil over vaccination since vaccine skeptic Robert F. Kennedy Jr. took over the Trump administration’s top health position.

The state guidance recommends restrictions such as having a high-risk health condition for some age groups, which conflicts with the previous decision by the governor and state health commissioner that all Massachusetts residents aged 6 months and older be elig

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