'Wound' is often used in a military sense, or at least some situation with weapons.
'Wound' usually also involves an injury where the skin is pierced, such as by a cutting weapon, or a projectile, such as shrapnel or a bullet.
An injury is a relatively serious thing. It could be a wound, or a broken bone, a dislocation, or perhaps a sprain.
Being hurt is usually a bit more minor. It could be just a a scrape, or a bruise, or something like that. It could be more serious, but usually not.
Your question would be more natural as What are the different uses of to wound, injure and hurt? or What are the differences between to wound, injure and hurt? Did you mean 'doubt' rather than 'dude'? And ...these three...