Themselves. It’s a civil war. The military in Burma/Myanmar has been out of control for many decades. Currently, the military controls the country, after overthrowing the 2020 democratically elected government.

People there are probably avoiding conscription not because they fear the danger of war, but because they disagree with the military’s position, and don’t want to have to kill peaceful protesters.

Civil war but the Rohingya genocide is ongoing: https://en.m.wikipedia.org/wiki/Rohingya_genocide

The largest refugee camp in the world is the Kutupalong refugee camp is in Bangladesh just over the border. (Gaza is bigger but I’m not sure “camp” is the right word after multiple decades.)