I renewed my passport a bit earlier than needed, mainly for this reason too (the final appearance of my long hair). Give it one last hurrah, I say. In the future you might look back with more objectivity and think you hadn't lost that much hair yet.
Good luck with your treatment strategy.
My hairline was slightly recessed even in my teens but never moved... until my mid-20s when it started to fall out very rapidly.
At that point, I started taking Finasteride, which I eventually quit because I'd begun to feel side effects, which fortunately went away after I stopped taking.
Now...