Antibiotics and probiotics are often discussed together, and timing is the usual question.
Antibiotics are designed to act on bacteria, which can include the live strains in a probiotic. That is why people are often advised to separate the doses. The right gap depends on the antibiotic, so general advice cannot replace a pharmacist.
Tell your prescriber or pharmacist you are considering SodaTide, show them the label and ask for exact spacing. Do not stop or change an antibiotic course on your own. The page also lists weakened immunity and diagnosed GI conditions among reasons to speak to a doctor first.