(1) You've got two System partitions each with its own BCD. C partition is doubling as a System partition, & EFI is a System partition...
That is likely what is confusing ReagentC. It needs to find the BCD in order to enable the Recovery partition. We need to tell Windows that EFI is to be used -- not C. Let's try this...
DiskPart<<<Enter DiskPart
List Vol<<<List the volumes & letters
Select Vol 7 <<<Select EFI -- I guess it's still Volume 7
Assign Letter=S <<<Give it letter S -- unless List Vol shows it's already there
Exit<<<Exit Diskpart
BCDBoot C:\Windows /s S: /f UEFI <<< **** Rebuild the BCD in EFI & all other boot files.
A reboot will be necessary to inform the rest of Windows of the change.
(a) I'm unsure that actually tells Windows to use EFI.
(b) I'm unsure whether that will also remove the System attribute from C.
(c) I'm unsure exactly what would remove it.
(d) So, maybe try this before the reboot...
REN C:\EFI EFI_unwanted <<<Rename the folder
..........................................................................
Then -- if it turns out it can't reboot -- you'll have to rename it back in the recovery environment, thus...
(a) At the Choose an Option screen, click "Troubleshoot > Advanced Options > Command Prompt".
(b) Enter the following commands...
DiskPart
List Vol
Exit
The Windows partition may have a different letter here. Use it instead of C in the following command...
REN C:\EFI_unwanted EFI <<<Rename it back
......................................................................
(2) After the reboot (presuming it did)...
Does BCDEdit /Enum {fwbootmgr} now show {bootmgr} on top?
Does BCDEdit /Enum {Bootmgr} name either HarddiskVolume9 or S: as the Device?
If so, try again...
ReagentC /Disable <<<Moves WinRE.wim to staging area
ReagentC /Enable <<<Moves it to the Recovery partition
ReagentC /Info <<<Show whether it is enabled
If it isn't enabled, let's see C:\Windows\Logs\ReAgent\Reagent.log. Just copy/paste the output of those three commands from the bottom of the log.
(3) A volume is a partition that has a file system on it. The Volume numbers enumerated by DiskPart are not the same as the HarddiskVolume numbers enumerated in the BCD. The BCD counts all partitions (with or without a file system) starting from Disk 0. Disk Management won't show them all. DiskPart will show them, this way...
DiskPart <<<Enter DiskPart
List Disk <<<List your 8 disks
Select Disk 0 <<<Focus on Disk 0
List Part <<<List its partitions
Select Disk 1
List Part
=== Continue with Disks 2 through 7 ===
Exit <<<Leave DiskPart
Looking at your prior listings, I now think the 8th partition down will be C. And EFI will be partition 9. Disks 0-5 will have 1 partition each, then Disk 6 shows...
So -- HarddiskVolume8 is the Windows partition. (EFI is HarddiskVolume9). Yep, the BCD that is on C (shown with /Store) shows the letter...
The one that is on EFI (S:) shows...
We want the one on EFI (S:) to be the only one. Windows gets confused when there is more than one System partition.