US Resident & working in the UAE

[Brownlees]

Colleges and fellow aviators, a quick question if I may be so bold, an old topic perhaps but in this ever shrinking world we live in, I'd appreciate any wise words of advice.

I am a [FONT='Verdana','sans-serif']UK citizen[/font], resident in the[FONT='Verdana','sans-serif'] US (green card).[/font]
I have been offered a position in the UAE to work on a 6wk on 6wk off schedule, approx $500 a day in country.
My US interviewer said that this would be a tax free salary.
As he is a US citizen and not a US permanent resident, like myself, he could not fully answer two of my questions:

A) Would a 6 week on 6 week off schedule, affect my US green card residency ?

B) I know I will still have to file US Tax returns in order to retain my residency, [FONT='Verdana','sans-serif']BUT[/font] Would I still be eligible for any tax breaks on my earnings in the UAE, like my US Citizen colleges. Or with me being a US resident (green card holder) working in the UAE on a 6/6 rotation, would I forfeit this tax free privilege.

Cheers guys ! be gentle it’s my first post…..