I hear you, @HealDad761. I've lost hair too. I've been taking a prenatal vitamin and collagen, hoping it'll help. Someone else posted that keeping their protein high helped them keep their hair.
The Mayo data on patch HRT plus GLP-1 synergy is worth bringing up at the next appointment - the oral absorption issue specifically with GLP-1s affecting estrogen levels is what makes the transdermal route so important for that combination.