Okay, the BCM and ECM work together with the charging system.
I believe the old alternator was your issue. I attached the info on the system.
According to this information, the light should go out on its own.
Roy
SERVICE BATTERY CHARGING SYSTEM
The BCM and the ECM will send a GMLAN message to the DIC for the "service battery charging system" message to be displayed. It is commanded ON when a charging system DTC is a current DTC. The message is turned "off" when the conditions for clearing the DTC have been met.
Monday, April 19th, 2021 AT 10:44 AM