According to a post on the Lonely Planet forums last year:
... AZerbaidjan full page, Armenia full page, Iraqui Kurdistan stamp
(so two stamps almost a page), Turkey two small stamps (may be half a
page), Georgia same (two small stamps, entry and exit another half
page). I dont expecvt these practices changed though cannot verify.
sounds like they only have stamps, so would fit on one page.
Note that a google image search shows the Iraqi one being a simple stamp as well for a visa and this blogger shows his Kurdistan visa as a stamp as well.
Another photo with yet another on a blog pointing out that if you want to extend the 10 days limit, "You ONLY have to visit the Directorate of Residence if you want to extend your visa and stay beyond 10 days. ".
So even if a 'short term residence permit' from this office comes to a full page, which Iraq seems to do, then you'll need at maximum two pages.