Yes that is a good call. Could be a Sitar.
HOWEVER! I have been doing extensive sleuthing (when I probably should have been working). First I asked a musician friend of mine who said:
no idea tbh, there are so many different pluck instruments in each culture. For example - in russian - we have Balalika
[...] I've purchased an OUD library [...] For my ears, oud is a bit lower But it all sounds very close
So not much clarity there. Although he said maybe oud.
I then looked into some interviews with the band concerned with the second video I posted.
this one mentions an oud explicitly.
There's some decent guitar and keyboard solos sprinkled about, but it's the oud and other Arabian instruments that garner the most attention.
So I suppose the short list is oud, sitar and "other arabian instruments"...