What resistance coil are you running on that AGA? Which charger are you using? You're using AW IMR's, correct?
Assuming your battery was truly at full charge when you removed it from the charger, it's my understanding that Li Ion or Li Min
batteries need to go through a few charging cycles to reach their full charge potential. Not saying that's gospel, but I have read this a couple of times. Did you happen to check the voltage of the battery right after you put it in the Provari? The charger may have said fully charged, but a new battery may only charge to 4.0 - 4.1 volts initially. Just pulling straws here.
Not much more to add to this. The flashing light (power button) typically alerts around 3.5 volts if I recall, and you can typically continue
vaping for another hour after that (depending upon the load on the battery) until the Provari shuts down altogether.
You might use some alcohol to clean the battery contacts inside the Provari. I'm not sure how well the technicians clean the insides out from the manufacturing process. The Provari is pretty sensitive to dirt or dust on those contacts, and typically the result is the flashing light. For future reference, any dirt accumulation on the end cap threads can cause the same issue as that can interfere with the battery circuit. Noaloxx (common antioxidant) on the threads helps keep them buttery smooth and clean, and helps prevent oxidation of the bare metal of the threads.