I have not read what the White House was pushing before but I think the press was reporting wording using "region".
This uses the word "Iraq" frequently.
But if something else flares up in the region it doesn't seem to rule it out.
Of course the President needs to notify the appropriate Legislatures!
I read that Biden had a version that was going to only put US troops at the command of the UN. Sheesh. Bush did him a favor by pre-empting his nonsense.