[...]If it doesn't show up in device manager, it's not even detected though so you'll need to work on fixing that first.[...]
[...]Because right now it's not showing up in device manager.[...]
[...]If device manager still doesn't show the card then it's either broken or firmware is corrupted and you could try putting it in live fish mode and reflash. Search for CX3 user manual and the procedure is documented in an appendix.
Expansion cards not showing up in Windows 11's device manager rings a bell for me. An unpleasant one, by the way.
Don't know if its even related to your problem but 2 weeks ago I had serious problems installing an ASUS GT1030 because Windows 11 didn't recognized the card and, no matter what I tried, device manager was not able to see it.
Then I did this: unplug the card, boot up W11, install the nvidia drivers, shutdown the PC, plug the card, boot Win11.
That did the trick.
Also, look for secure boot in your BIOS, because when I was troubleshooting this issue I read somewhere (sorry, don't remember where) that sometimes it blocks new hardware plugged.