Skip the hard workout first. Healthline and ASPS both name the window, and they name it in the same hours.
The window, from two sources
Healthline says to avoid strenuous exercise for 24 hours to two days after you get lip or any other dermal fillers.
ASPS says vigorous exercise is not recommended during the first 24 hours to two days after an injection session.
In plain words, the two sources agree on the hours and on the kind of exercise. Both point at strenuous or vigorous effort, and both start the count at the injection session.
Further reading on fillers
These pages give wider background: the OHSU page on dermal fillers, the Cleveland Clinic page on lip augmentation and the UCLA Health overview of non-invasive facial rejuvenation.
One thing to do first
Book the appointment for a day that leaves the whole window free of hard workouts. Then ask your St. Augustine provider whether they give their own aftercare timing.