Empty recovery partition

What do you think of the result?

C:\Windows\system32>reagentc /info
Windows Recovery Environment (WinRE) and system reset configuration information:

WinRE Status: Disabled
WinRE Location:
Boot Configuration Data (BCD) Identifier: aaedbfda-5c5e-11e8-94e6-aca9e0b146a7
Recovery Image Location:
Recovery Image Index: 0
Custom Image Location:
Custom Image Index: 0

REAGENTC.EXE: operation successful.

C:\Windows\system32>

Hello,
After some thought, I have decided not to touch my Data HDD: given the spectacular speed increase from tripling the RAM (from 4 to 12 GB) and then replacing the System HDD with an SSD, I ordered a second SSD for the data.
I will copy the files from my Data HDD to the 2nd SSD using Explorer.

Can we go back to my question: how to restore the recovery partition?

We start from your capture:

https://img-19.ccm2.net/aAwdNHRHaGBsbrU9LKqve65r-2Q=/fd91844ba8a84ed386f210ecc0a69d15/ccm-ugc/Gdisk.jpg
We assign a letter to your partition and remove the "z" in the process.

diskpart
sel disk 0
sel part 1
remove letter=z
sel disk 1
sel part 3
assign letter=r
exit

Then, we will believe that things are done properly, and so you type the command directly:

reagentc /setreimage /path r:\recovery\windowsre

1. If you get a success message, you try

reagentc /enable

And we check:

reagentc /info

2. If you receive an error message, we will do it differently.

3. If reagentc /info returns incorrect information, we will change the method (I tested it this morning on my wife's PC).

Hello,
Small error in your instructions

diskpart
sel disk 0
sel part 1
remove letter=z
sel disk 1: the system disk is disk zero!
sel part 3
assign letter=r
exit

but it's okay, I removed Z and assigned R, then

C:\Windows\system32>reagentc /setreimage /path r:\recovery\windowsre
Directory set: \\?\GLOBALROOT\device\harddisk0\partition3\recovery\windowsre

REAGENTC.EXE: operation successful.

C:\Windows\system32>reagentc /enable
REAGENTC.EXE: unable to update boot configuration data.

Strangely, I receive a message saying that there is not enough space on drive R:
I still asked for the info to verify.

C:\Windows\system32>reagentc /info
Recovery Environment Windows (WinRE) and system reset configuration information:

 WinRE State: Disabled
 WinRE Location:
 Boot Configuration Data (BCD) Identifier: aaedbfda-5c5e-11e8-94e6-aca9e0b146a7
 Recovery Image Location:
 Recovery Image Index: 0
 Custom Image Location:
 Custom Image Index: 0

REAGENTC.EXE: operation successful.

Strangely, the letter R is not visible in the disk management


What do we do now?
Is this recovery partition really useful?

Subsidiary question: can we change the motherboard while keeping the disks,
without having to reinstall W10 or especially the applications?

Hello to both of you,

Give the result of

dir /a r:

Then

dir /a r:\recovery\windowsre

Yes, it is useful in case of a crash. And if you change the motherboard, the Windows 10 license will no longer be valid.

Hello,

C:\Windows\system32>dir /a r:
 The volume in drive R has no label.
 The volume serial number is 1E63-D99E

 Directory of R:\

20/05/2018 20:50 <DIR> Recovery
24/09/2018 08:49 <DIR> System Volume Information
 0 file(s) 0 bytes
 2 Dir(s) 53,088,256 bytes free

C:\Windows\system32>dir /a r:\recovery\windowsre
 The volume in drive R has no label.
 The volume serial number is 1E63-D99E

 Directory of r:\recovery\windowsre

24/09/2018 09:44 <DIR> .
24/09/2018 09:44 <DIR> ..
20/05/2018 15:17 402,598,614 Winre.wim
 1 file(s) 402,598,614 bytes
 2 Dir(s) 53,088,256 bytes free

C:\Windows\system32>

Still not

C:\>cd r:\recovery\windowsre

C:\>xcopy c:\windows\system32\boot.sdi
C:\windows\system32\boot.sdi
1 file(s) copied

C:\>del /a c:\windows\system32\recovery\winre.wim

C:\>reagentc /setreimage /path r:\recovery\windowsre
Directory set: \\?\GLOBALROOT\device\harddisk0\partition3\recovery\windowsre

REAGENTC.EXE : operation successful.

C:\>reagentc /enable
REAGENTC.EXE : unable to update the boot configuration data.

and I constantly get a window saying that the space on R: is insufficient.

Could you first tell me how I can prevent this annoying message "R: almost full"?

Hello,
According to the disk manager, I can't enlarge partition 2 (C:) by more than 4 MB.

I'm still wondering what the recovery partition is for: I have a complete disk backup made with CloneZilla anyway, and a CloneZilla boot DVD, so I can always restore my system SSD.
The content of this SSD only changes if I install a new program since my data is on my Data HDD (which I will also copy to an SSD as soon as I receive the one I ordered), except for the Outlook .pst files, but I back them up every day on an external drive.