From their website:
Starting Wednesday, February 24 after 7:00 a.m. EST (6:00 a.m. CST), eligible customers can access COVID-19 vaccine appointment availability beginning Friday, February 26. Please reference the County Availability section below for the latest vaccine scheduling information.
Vaccination appointments are scheduled online only. Appointments cannot be made by calling Publix or the Publix Pharmacy.
COVID-19 Vaccine Announcement in Florida | Publix Super Markets
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Not sure if I have free time...or if I just forgot everything I was supposed to do!