I am Navy as well. I declined to receive treatment after a SARP evaluation, knowing the consequence was mandatory processing for administrative separation. This was also right before sending my package off to the PEB. From what I have read, the term for ADSEP and MEB concurrently is called dual processing. There is also some guidance I was sent from my awesome DES attorney that I will copy and paste here from the LAPA manual that may help you as well. Best of luck.
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"The policy only impacts administrative involuntary separation processing. The
policy indicates, consistent with current law and regulation, that involuntary
administrative separation processing may only take precedence over DES processing
when the basis for administrative processing is misconduct which could warrant a
characterization of service as other-than-honorable (OTH).
The new policy establishes that the first General Officer/Flag Officer (GO/FO) in the
chain of command is the Separation Authority (SA) for processing cases when the
member has been referred into the DES and is being processed for misconduct which
could warrant characterizing the member’s service as OTH.
Whenever the member has been diagnosed with any mental health condition or
neurobiological condition like TBI, the new policy expands the current 10 U.S.C. §
1177 protections and additionally requires that prior to being separated for serious
misconduct, the member, must be evaluated by “an appropriately privileged military
health care provider [to render] a medical opinion as to whether the medical
condition that caused referral into the DES contributed to a basis for which the
member is being separated.” The SA remains the first General Officer/Flag Officer
(GO/FO) in the chain of command, unless current regulation directs a more senior
officer to be the SA. The SA must document their determination, in writing, that the
member should be separated for misconduct despite the presence of the medical
conditions(s)."
- Legal Assistance Practice Advisory 3-16 (Dual Processing)