Where does “क़िरमिज़” come from?

क़िरमिज़ (Hindi) comes from Classical Persian قرمز, from Arabic قِرْمِز, from Persian کرمست, from Sanskrit कृमिज, from Sanskrit कृमि, from Proto-Indo-Aryan kŕ̥miṣ, from Proto-Indo-Iranian kŕ̥miš, from Proto-Indo-European kʷŕ̥mis — worm.

क़िरमिज़ (Hindi): kermes insect (Kermes ilicis, an insect found on the Kermes oak that is used to make crimson dyes)