Connect the drive directly to the Mac.
Disconnect all other external devices in case one of them is causing a problem.
Boot into Safe Mode to see whether you can erase the drive for use with macOS. If this works, then most likely you have some third party software that is interfering with the normal operation of macOS.
To properly prepare/erase the drive for use with macOS you need to erase the whole physical drive. Within Disk Utility you may need to click "View" and select "Show All Devices" before the physical drives appear on the left pane of Disk Utility. You will want to erase the physical drive as GUID partition and one of the following file systems depending on how you will use the drive:
- MacOS Extended (Journaled) -- for use with macOS and older versions of macOS
- APFS (top option) -- for use with macOS 10.13+ (older versions of macOS cannot read APFS)
- exFAT -- for using with both macOS and Windows systems
What is the exact model of the Mac? You can get this information by clicking the Apple menu and selecting "About This Mac". Some older drives may not be compatible with M1/M2 Apple Silicon Macs. Just because you just purchased this drive does not mean it isn't an older model.
Did you install the Seagate proprietary software? If so, then maybe some setting with this software has locked the drive. The Seagate software does have an option to encrypt the drive and lock it. If this is activated, then the drive must first be unlocked before any data can be accessed.