As the CSE official confirmed on Tuesday, CSE is able to support and help the CAF on cybersecurity and cyber-defence issues. When doing so, they take on Canadian Armed Forces mandates. That would mean if the CSE were required to be called upon in a conflict, particularly a war, CSE civilians who are assisting the Canadian Armed Forces would be considered combatants in a war.
You have to contend with and understand to what degree this extends to the rest of the organization at that point.