When kids are bored it triggers a stress response in their brains which activates their amygdala and deactivates the prefrontal cortex, the part of the brain responsible for thinking and decision making. Which makes it impossible for them to take any of your good suggestions and put them to work.
They need you to hold your suggestions while you hold space for their emotional pain and discomfort so they can feel soothed and reconnect with their executive functioning skills Then they can pick something that will stimulate them in whatever way is right.
%402x.svg){kind=icon}