How to run First Aid to a network drive in recovery mode with Disk Utility?
I'm having trouble to understand how to mount a network drive to Disk Utility in Recovery mode and to run First Aid on it. I tried to find guides online but none was referring to a network drive. I have MacBook Pro (early 2015) and I'm connecting the network drive directly to the computer with ethernet cable and an Apple USB Ethernet Adapter (because it takes longer to run these tests over WiFi). The network drive has static IP to simplify things and to make sure the Mac and the drive are both on the same main network address. But when I in recovery mode the drive doesn't appear under Network, I can't find it (even if I'm doing Recovery mode with internet, while connecting both Mac and drive directly to the router)
Some background:
I'm using WD My Cloud (running OS3) for my Time Machine backups. Initially I've used to backup two computers on it: MacBook Pro and MacBook Air, and then just the MacBook Pro (the computer I'm still using). So there's two disk images on it (we can compare them). Three years ago I've started to receive a message saying: "Time Machine completed a verification of your backups on "Device.local". To improve reliability, Time Machine must create a new backup for you."
I've tried to use Disk Utility in order to run First Aid on the Time Machine backups. But when I run it on the Apple sparse bundle disk image Media container of the MacBook Pro backup - I got this message: "First Aid found corruption that needs to be repaired. To repair the sartup volume, run First Aid from Recovery. Click Done to continue."
However when I run First Aid on the Time Machine Backups volume itself (under it), it passed.
For the other MacBook Air backup the First Aid passed on both the Apple sparse bundle disk image Media and the Time Machine Backups volume.
Also, something I noticed, the backup volume of the Air is "Mac OS Extended (Case-sensitive, Journaled)" and the backup volume of the Pro is "HFS Case-sensitive Not Journaled".
The issue:
When I am in Disk Utility I go File→Open Disk Image... then it opens a finder window and I go to Network and choosing the network drive: Network→MyCloud→TimeMachineBackup→Name's MacBook Pro.sparsebundle and click Open. However when I'm in Recovery mode nothing comes up under Network. I've tried to load Recovery mode with Internet but it didn't change anything. I've tried it when the network drive was connected directly to Mac and I've tried it when the Mac and drive were both connected directly to the router.
I haven't figure out how to mount the disk image in Recovery mode. It just doesn't appear in Recovery mode, so I don't know how I can run First Aid on it as the message suggested.
I did more troubleshooting regarding this issue [and documenting it, like initially the sparse bundle itself and a file name "token" (inside the package) were marked as Locked with a lock icon], but this post is already too long and I don't want to go sideways from the topic.
I just want to run First Aid to a network drive in Recovery mode but suddenly can't find and open the Disk Image although the drive connected directly to the Mac with cable. I can find it outside the recovery mode.
MacBook Pro (Retina, 13-inch, Early 2015), running macOS Mojave 10.14.6 (18G9323)
MacBook Pro Retina