This is really important for people to understand. I grew out my beard for precisely the reason mentioned in your essay: Facial hair is so strongly associated with maleness. Though I’m agender, being read as female induces dysphoria much more than being read as male in my case.
I’m sorry you and your friend have to go through so much grief to get medically necessary treatments. Cis people need to realize that laser and electrolysis sessions for trans women are not just vanity procedures.