"I know for a fact the belief of everyone should continue living because the "what if game of it may get better" is irrational." What part of believing in a better future is irrational? Or more irrational than someone wanting to end their own life? We can end the conversation if it continues to a nihilistic viewpoint where death is the only true solution to things.
Your co-worker/friend's situation is unfortunate. I lived 3 years with someone who longed for death for nearly their entire adult life. In that time they believed they were acting rationally, that things would not get better and that they were irreparably broken; the only solution to them was death. They had been through numerous psychiatrists and eventually ended up at one who was able to properly diagnose them as having a form of bipolar disorder. They received prescription treatment and the longing for death ended.
I understand there are extreme differences in gender dysphoria and bipolar disorder, but just because their current state, or the current system is unable to help her, doesn't mean death is the correct answer. We should focus on improving mental healthcare rather than opening up the choice of death to those we're currently unable to provide help for.