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Testing too soon after an exposure may not provide the information on whether you were truly infected. The CDC recommends that you get tested 5 days after your exposure. The CDC recommends that you quarantine for at least 5 days. Since you have not received your booster dose yet, you are not up-to-date with your vaccination and MUST wear a well-fitting mask (preferably a KN95 mask) when around others in the home or out in public.
The latest CDC guidelines for isolation and quarantine is here: