Ask which peel depth you are booked for, then follow the sequence that goes with it. A peel has a stretch before the visit, the visit itself and a recovery afterward.
Before you arrive
DermNet describes the lightest option in these words: Superficial chemical peels are a minor procedure and no special arrangements are needed. In plain terms, a superficial peel does not ask you to clear your calendar or prepare anything unusual. Anything deeper than superficial is a separate conversation to have with your provider.
The first two days
DermNet also describes what follows: superficial peels cause mild facial redness and occasional swelling, which usually resolve within two days. Treat that as the window to plan around.
What to ask your provider
Write down the depth, and ask your St. Augustine provider what they want from you on the day and in the days afterward. That one answer tells you which sequence applies. For further reading, there is a DermNet overview of face peels, a PMC comparison of chemical peeling agents in melasma and a PMC paper on a professional-grade TCA-lactic acid peel for photoaging and hyperpigmentation.