“ File System Verify or Repair Failed”

Hey Malek_2010,

We'd recommend reviewing the information in this article as it provides steps to take for issues installing macOS updates: If an error occurred while updating or installing macOS - Apple Support

"Install in safe mode

Install while your Mac is started up in safe mode. To start up in safe mode, determine whether you're using a Mac with Apple silicon, then follow the appropriate steps:

Apple silicon

1. Shut down your Mac.
2. Turn on your Mac and continue to press and hold the power button until you see the startup options window.
3. Select your startup disk, then press and hold the Shift key while clicking “Continue in Safe Mode.”
4. Log in to your Mac. You might be asked to log in again.

Intel processor

1. Turn on or restart your Mac, then immediately press and hold the Shift key as your Mac starts up.
2. Release the key when you see the login window, then log in to your Mac. 
3. You might be asked to log in again. On either the first or second login window, you should see ”Safe Boot” in the upper-right corner of the window.

Install after repairing your disk

Use Disk Utility to repair your startup disk. Then try updating or installing macOS again."

Thanks!

Hi Malek_2010 -

Disk Utility can find and repair errors related to the formatting and directory structure of a Mac disk. Errors can lead to unexpected behavior when using your Mac, and significant errors might even prevent your Mac from starting up completely.

Repair your Mac disk with Disk Utility - How to repair a Mac disk with Disk Utility - Apple Support.

Jack

Hello Malek_2010,

At this point, we recommend contacting Apple Support directly for further help with this issue.

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Thank you for using Apple Support Communities.

Take care!