Do you have enough free disk space?
If upgrading from macOS Sierra or later, your Mac needs 26GB of available storage to upgrade. If upgrading from an earlier release, your Mac needs up to 44GB of available storage.
Also uninstall any antivirus and "cleaning" apps before trying installing again.
Are you using File Vault to encrypt the disk? If so turn it off and then try after the de-encrypting is complete. That can take many hours.
Boot to Recovery and repair/First Aid the startup disk. You can't repair/First Aid the disk you booted from.
About macOS Recovery on Intel-based Mac computers - Apple Support
If disk OK then delete the existing Monterey installer and boot to Safe Mode, which takes minutes and redownload the installer and try again.
How to use safe mode on your Mac - Apple Support