I'm in a bind and need some advice. I am set to ETS due to RCP, I am trying to re-enlist, but I am hitting roadblocks with HRC. Any advice?

I am supposed to ETS 2022OCT04 due to RCP. RCP recently was extended, but my ETS date has stayed the same. HRC has turned down my re-enlistment packet, saying that I have to promote in order to be able to re-enlist. I am E4 Promotable, set to make the list for Oct 1st promotions. I have more than enough points for my 92Y MOS to make Sgt. I am currently overseas on TDY. I have been working closely with S1 and my Command for months to try everything possible, and we continue to hit roadblocks with HRC. I am motivated and determined to continue my career in the Army. What is the likelihood of being able to re-enlist after I'm promoted in October before my ETS on 2022OCT04? And will this pending "brown out" affect my ability to re-enlist at all? What more can we do?