This response is from the Center for Disease Control (CDC)
Once receiving your Covid vaccine, it is recommended that you wait at least 14 days between this vaccination and any other vaccination (flu, shingles, etc.)
If you get another vaccine first, wait at least 14 days before getting your COVID-19 vaccine.
***** If a COVID-19 vaccine is inadvertently given within 14 days of another vaccine, you do not need to restart the COVID-19 vaccine series; you should still complete the series on schedule. When more data are available on the safety and effectiveness of COVID-19 vaccines administered simultaneously with other vaccines, CDC may update this recommendation.