Due to several changes on USGS Landsat Products and difficulty to mantain BAMS updated, a Burned Area Mapping implementation has been done on GEE, that has been published along with other Burned Area Mapping Tools in a journal. The new tool uses Random Forest to Map Burned Areas so both Burned and Unburned Category must be sampled.
Paper:
https://www.mdpi.com/2072-4292/13/4/816/htm
Code
https://github.com/ekhiroteta/BAMT
Please don’t hesitate to contact the author of the tool: Ekhi Roteta at ekhi.roteta(at)ehu.eus