Making a Ventura MacOS bootable external disk in a Mac mini M1 with Sonoma

Just to add, otherwise follow @HWTech suggestions - First

System Setting >> Privacy & Security

Give Terminal Full Disk Access as in image below

Or, Add Terminal to Full Disk Access

To add Terminal use the small + sign in bottom left and Add Terminal

Either the Ventura installer app is corrupted or the USB stick you are using may be bad. Try using another USB stick to see if that makes any difference, especially a different brand. Unfortunately the quality of USB sticks is extremely bad so this would be my first guess.

Also try connecting the USB stick to a different USB port to see if that makes any difference.

Try disconnecting all other external devices in case one of them is causing a problem.

Try creating the USB installer while booted into Safe Mode in case you have some third party software installed which is interfering with the normal operation of macOS.

Try deleting the Ventura installer app from the Applications folder and Empty the Trash. Download the Ventura installer again to see how things go.

Welcome.

Though, as mentioned, this is Only a Fall Back position and not a replacement for @HWTech suggestion