*हस्तकूट (Sanskrit) comes from Sanskrit हस्त, from Proto-Indo-Aryan źʰástas, from Proto-Indo-Iranian ȷ́ʰástas, from Proto-Indo-European ǵʰés-to-, from Proto-Indo-European ǵʰes- — hand; take, give in exchange.
Ancestry of “*हस्तकूट”, step by step
*हस्तकूट traces back through two separate lines of ancestry.