RPI 5 8gb + argon one v3 nvme stucks while using ssd storage

Regarding the NMVe compatibility, this is not only an issue of Argon40. The firmware related part to mitigate such issues are in the hand of the Raspberry Pi Foundation. Naturally there can be also some hardware issues, that could be an issue of the Argon ONE. Additionally the RPi5 is not certified for Gen 3, but only for Gen 2. At such high frequencies there are so many negative influences possible…

Do you have seen that the NVMe you choose, is only at the “Maybe” list? NVMe Base for Raspberry Pi 5 - NVMe Base

Can you check the temperature of the NVMe please, as soon the issue occurs?
Also please try that happens, if you add pcie_aspm=off to the kernel configuration line in cmdline.txt.

Please try not to exchange the 2 terms NVMe with SSD. Yes, both can be available in M.2 format. But this can be misleading, because SSDs not working in the NVMe base of the Argon ONE cases.

The kernel message it self, could also be triggered by a software bug or be an indication of a defective RPi. This single line is near to pointless without the lines around → provide full log.

If you just meant to stabilize the external Transcend ESD310 SSD, there could be an issue with USB powering. Do you have an powered USB (with a power supply) HUB, to check if the issue disappears if the SSD is powered by the HUB?

Can you please check your bootloader config and config.txt?
PSU_MAX_CURRENT=5000
and
usb_max_current_enabled=1

like discussed here: