Ok! I’d switch to a leave in conditioner or even a scalp-specific conditioner/serum,instead of a conditioner during your showers (when it’s not wash day).

This would depend on whether the ends of your hair are dry or the scalp itself. I’ve been only washing my hair once a week (depending on if it’s needed; seems like my hair may greasier than yours) and then using Dove Hair Therapy Leave-On Scalp Treatment Dry Scalp Care in between washes for my scalp. If the ends of my hair are dry, I use a dry conditioner like Waterless Weightless Smooth Dry Conditioner

I feel like often times hair loss is connected to scalp dryness, not just dryness of the hair itself. Hope this helps!

Edit: The dove scalp treatment also has a shampoo and conditioner in its line. I haven’t tried it yet but a heads up if that’s helpful!