Either the Security & Privacy System Preferences are no longer configured to allow the manufacturer's third party software/NTFS driver to load or access to the external drive, or the manufacturer's proprietary software is not compatible with Ventura. If the latter, then you will need to contact the drive manufacturer for assistance.
FYI, this is not the first time a macOS update/upgrade has broken the third party proprietary NTFS drivers. Experienced contributors here never recommend using the manufacturer's software for this very reason and others. It is best to configure the external drives to allow macOS to manage the drives instead by using one of the following file systems (which one depends on how the drive is to be used) HFS+, APFS, or exFAT. You can do this now if you are willing to temporarily transfer the data on the drive to other media so you can properly erase the drive.