Coffee and tea are part of most mornings, so the question is natural.
The SodaTide page does not discuss coffee or tea. It describes a daily capsule, not a hot-drink routine, so any answer here is general rather than product-specific.
Live probiotics are generally treated more gently than most supplements, and very hot drinks are commonly avoided around them. Many people simply take the capsule with water and have their coffee separately. If you are unsure, ask the seller or a pharmacist, and follow the label.