After doing some research myself and consulting with a Finance Specialist again, you actually may be entitled to FSA based on DODFMR, Volume 7A, Chapter 27, Table 27-5, Rule 8. My finance POC was surprised when I showed him this provision and advised that you print the page out and bring it to finance. If there is some other reason why you are not entitled, then they should tell you.
Here is the link to the DODFMR
My apologies for the confusion. If you wouldn’t mind shooting me a note with how things work out, I’d really appreciate it.