Samsung SSD T5 not connecting?

are you using any of samsung's preloaded software on the drive (or installed such software yourself) that supposedly makes the drive "Mac ready"? if yes, that could be the cause of your issue. when you use software from just about any manufacturer for their storage device you run the risk of that same software not being compatible with macOS updates / upgrades. it can cause the software to stop working. at best this will cause you a headache. at worst it can render your data inaccessible. it is always best to use disk utility to erase and format a drive before use to remove any preloaded software.

if you are using such software, i think your options are somewhat limited. 

you may want to contact Samsung and see if there is an update for their software.

alternatively, if you have a backup you can revert your macOS to the version of macOS that the drive was working on and transfer your data to another storage device and then erase and format the Samsung device before putting it back into service.

Erase and reformat a storage device in Disk Utility on Mac - Apple Support

Has this T5 SSD ever worked with this particular laptop? Not all external devices are compatible with an Apple Silicon Mac. In fact some T5 SSDs are known to be incompatible (or at least they were in 2020 when the M1 Macs were first released). Some T5 SSDs will work fine, while others will not work....all due to which USB controller chip the drive uses...there are at least two different versions even though the SSDs look identical and have the same model number.

Make sure to disconnect all other external devices in case one of them is causing a problem. One such device which is known to interfere with external drives are Wacom tablets....unless Wacom fixed this you need to mount your external drives before connecting the Wacom tablet, otherwise odd issues will occur.

Are you using the built-in hardware encryption feature of the T5 SSD? If not, then there is no reason to use the Samsung proprietary software to manage the T5 SSD. In fact it is best if you allow macOS to manage the external drives by using a file system macOS supports. If you need to share the drive with a Windows system then use Disk Utility to erase the drive as GUID partition and exFAT (erasing the drive will destroy all data on the drive).

Edit: Also I believe macOS Ventura is now up to 13.2.1 so you are a few updates behind on patches.