COVID Boosters are the same formula as the original

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Why wouldn't they update it to fight the new variants?
>Yes. COVID-19 booster shots are the same formulation as the current COVID-19 vaccines. However, in the case of the Moderna COVID-19 vaccine booster shot, it is half the dose of the vaccine people get for their primary series.

https://www.cdc.gov/coronavirus/2019-ncov/vaccines/booster-shot.html