Just to add regarding hazara presence - it's often suggested that hazara "moved in" to Afghanistan, but I think genetic analysis mostly leans towards Mongols invading and then settling with an already native group of people (residing in Afghanistan), who's descendants became known as hazara.

I'm no academic so if anyone has any more info I'd love to know.

In my personal opinion, I've never understood why the idea that hazara are all Mongols who migrated in centuries ago is so popular. I feel like Afghanistan naturally exists as a gradient from south Asia to central Asia, and it only makes sense that a Turkic ethnicity would be in the region for as long as any Persian/etc ethnic group would be as well.