Most expats use the physical presence test and since you have more than 330 days in a continuous 12 month test period, you indeed can declare your tax home to be abroad ( Iraq). This will allow you to claim foreign earned income exclusion.
Note that -- for example if you went abroad on 10/01/2017 and continued to be abroad till 05/31/2019 -- then your text period could be as early as 10/01/2017 through 09/30/2018 --- thus your foreign earned income for the period 10/01/2017 through 12/31/2017 would be eligible for exclusion . Additionally your foreign wages for the tax year 2018 and part of 2019 can also be eligible for exclusion.
Any foreign earned income that is not so excluded and taxed by both USA and the local taxing authority would be eligible for foreign tax credit.
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