Can Warforged be Targeted by the Clone Spell?


The Clone spell’s Components include (PHB p.222):

… at least one cubic inch of flesh of the creature that is being cloned, …

and Warforged do not have flesh, the same as other Humanoids do (ERftLW p. 35):

Warforged are made from wood and metal, …

Root like cords infused with alchemical fluids serve ads there muscles, wrapped around a frame of steel, darkwood, or stone. …

This alone would seem to imply they cannot be targeted by the Clone spell, however their description also includes:

Although they were manufactured, warforged are living humanoids. Resting, healing magic, and the medicine skill all provide the same benefits to warforged that they do to other humanoids.

Would this include the Clone spell? I’m struggling to understand whether this would be considered healing magic, and if an inch of the warforged’s "flesh" would work here.